I don't think this really makes sense. Here's an analogy I wrote up once to illustrate one of the simplest Bell inequalities:
Suppose we have a machine that generates pairs of scratch lotto cards,
each of which has three boxes that, when scratched, can reveal either
a cherry or a lemon. We give one card to Alice and one to Bob, and
each scratches only one of the three boxes. When we repeat this many
times, we find that whenever they both pick the same box to scratch,
they always get the same result--if Bob scratches box A and finds a
cherry, and Alice scratches box A on her card, she's guaranteed to
find a cherry too.
Classically, we might explain this by supposing that there is
definitely either a cherry or a lemon in each box, even though we
don't reveal it until we scratch it, and that the machine prints pairs
of cards in such a way that the "hidden" fruit in a given box of one
card always matches the hidden fruit in the same box of the other
card. If we represent cherries as + and lemons as -, so that a B+ card
would represent one where box B's hidden fruit is a cherry, then the
classical assumption is that each card's +'s and -'s are the same as
the other--if the first card was created with hidden fruits A+,B+,C-,
then the other card must also have been created with the hidden fruits
A+,B+,C-.
The problem is that if this were true, it would force you to the
conclusion that if Alice and Bob are picking randomly which box to
scratch on each trial (with a 1/3 chance of A, B, or C each time),
then if they do this a large number of times, we should expect that in
the subset of trials where Alice and Bob happened to pick different
boxes to scratch, they should find the same fruit at least 1/3 of the
time. For example, if we imagine Bob and Alice's cards each have the
hidden fruits A+,B-,C+, then we can look at each possible way that
Alice and Bob can randomly choose different boxes to scratch, and what
the results would be:
Bob picks A, Alice picks B: opposite results (Bob gets a cherry,
Alice gets a lemon)
Bob picks A, Alice picks C: same results (Bob gets a cherry, Alice
gets a cherry)
Bob picks B, Alice picks A: opposite (Bob gets a lemon, Alice gets a
cherry)
Bob picks B, Alice picks C: opposite results (Bob gets a lemon,
Alice gets a cherry)
Bob picks C, Alice picks A: same results (Bob gets a cherry, Alice
gets a cherry)
Bob picks C, Alice picks picks B: opposite results (Bob gets a
cherry, Alice gets a lemon)
In this case, you can see that that if they are equally likely to pick
each combination of boxes, then 2 times out of 6 when they choose
different boxes, they will get the same fruit (i.e. a 1/3 chance of
the same result). You'd get the same answer if you assumed any other
preexisting state where there are two fruits of one type and one of
the other, like A+,B+,C- or A+,B-,C-. On the other hand, if you assume
a state where each card has the same fruit behind all three boxes, so
either they're both getting A+,B+,C+ or they're both getting A-,B-,C-,
then of course even if Alice and Bob pick different boxes to scratch
they're guaranteed to get the same fruits with probability 1. So if
you imagine that when multiple pairs of cards are generated by the
machine, some fraction of pairs are created in inhomogoneous
preexisting states like A+,B-,C- while other pairs are created in
homogoneous preexisting states like A+,B+,C+, then the probability of
getting the same fruits when you scratch different boxes should be
somewhere between 1/3 and 1. 1/3 is the lower bound, though--even if
100% of all the pairs were created in inhomogoneous preexisting
states, it wouldn't make sense for you to get the same answers in less
than 1/3 of trials where you scratch different boxes, provided you
assume that each card has such a preexisting state with "hidden
fruits" in each box.
But now suppose Alice and Bob look at all the trials where they picked
different boxes, and found that they only got the same fruits 1/4 of
the time! That would be the violation of Bell's inequality, and
something equivalent actually can happen when you measure the spin of
entangled photons along one of three different possible axes. So in
this example, it seems we can't resolve the mystery by just assuming
the machine creates two cards with definite "hidden fruits" behind
each box, such that the two cards always have the same fruits in a
given box.
Something mathematically analogous is predicted in certain experiments
where entangled photons are passed through polarizers at different
angles, in which the probability that both photons will have the same
result (both pass through their respective polarizers, or both are
blocked) is $ cos^2 (\theta) $, where $ \theta $ is the angle between
the two polarizers. Suppose the experimenters decide in advance that
on each trial, they will choose randomly between one of three angles
for their polarizer: 0 degrees from vertical, 60 degrees, or 120
degrees. On a given trial, if both experimenters choose the same
angle, then $ \theta = 0 $ so they are guaranteed to get the same
result with probability 1 (both photons pass or both are blocked), but
if they choose different settings the probability of getting the same
result would be $ cos^2 (\pm 60) $ or $ cos^2 (\pm 120) $, which in
both cases gives a probability of 1/4. But the Bell inequality whose
derivation I sketched says that if you want to explain the perfect
match when both experimenters make the same choice using local hidden
variables, the probability of a match when they make different choices
should be no lower than 1/3.
In terms of this analogy, here's how "violation of locality" or "violation of freedom" could explain the results that when both experimenters make the same measurement they get the same result with probability 1, but when they make different measurements they only get the same result 1/4 of the time. (I won't attempt to make an analogy for "violation of realism" because I don't really understand what that means, although some authors like this one seem to treat it as synonymous with violation of the experimenter's choice being statistically independent of hidden variables, which is just 'violation of freedom')
Violation of locality: Suppose that instead of a lotto card with preprinted hidden fruit under each square, the two experimenters instead receive touchscreen devices with three gray squares A, B, and C, and they can choose which square to tap, transforming that square into a picture of a fruit. If there is an FTL communication link between the two devices, and there is a brief interval between each experimenter tapping a square and the device displaying a fruit, then the computing elements inside the two devices can pool the information about what square each experimenter should see--if both experimenters tap the same square the devices can be programmed to show the same fruit, and if they tap different squares, the devices can be programmed to decide using a random or pseudorandom algorithm that gives a 1/4 chance of both displaying the same fruit and a 3/4 chance of displaying opposite fruits.
Violation of freedom: We could imagine that at the time the machine prints the two cards (or earlier), some entity sends a subliminal signal to each experimenter which predetermines what choice they will make about what square to scratch later, and also determines what fruits are printed under each square in a way that's correlated with the experimenter's choices. So on each trial where this entity predetermines the two experimenters to scratch the same square, it can also cause the card-printing machine to create a pair of cards with the same fruit under that square on each card; and on the trials where the entity predetermines that the experimenters scratch different squares, on 1/4 of those trials it can cause the machine to create pairs with the same fruit under the two squares that will be scratched, and on 3/4 it can cause the machine to create pairs with different fruits.
A variant of this would be a deterministic universe where the initial conditions are chosen very carefully to ensure the above sort of correlation between the hidden fruits sent out on each trial and which boxes the experimenters choose to scratch on each trial. The assumption that there is no "conspiracy" in the initial conditions of the universe which predetermines a strong correlation between the hidden variables associated with particles on each trial (or hidden fruits on each pair of cards in my analogy) and what variables the experimenters will choose to measure on each trial (or what boxes they will choose to scratch) is often called the "no conspiracy" assumption, see the paper on the detailed assumptions of Bell's theorem here which discusses it in section D on page 6. Models with violations of no-conspiracy that depend on fine-tuning of initial conditions are sometimes grouped under the label "superdeterminism", see here and here for example.
Another subtle variation on this is the idea that the entity doesn't actually cause the experimenters to make particular choices but merely has a sort of "precognition" about what choices they will in fact make (implying some backwards-in-time causality), and determines what fruits will be under the two boxes that it knows will be scratched in the future using the same type of rule as above. The philosopher of science Huw Price discusses such an idea in his book Time's Arrow and Archimedes' Point.
(As I mentioned in a comment above, advocates of the many-world interpretation also make the point that one can preserve locality if one drops the assumption that each measurement gives a single unique result, as elaborated in this paper by David Deutsch. If you want a simple conceptual toy model of how this could work, see this post I wrote up on physicsforums.com a while ago).
Thinking in these terms, your idea about the experimenter's "will" affecting the experiment could be imagined in terms of the scenario where each experimenter receives a touchscreen device which "decides" what fruit to reveal on-the-fly after the experimenter has tapped one of the three squares. We could imagine that the device has a built-in psychic receiver that's sensitive to the experimenter's will--consciously or unconsciously, the experimenter decides what fruit she wants to see when she hits a given square, and the device obliges by showing exactly that fruit. To make it more concrete we could also just drop the notion of psychic powers, and just imagine that each experimenter receives a touchscreen device in which they first tap a square, then there's a pop-up menu allowing them to decide what fruit will appear in that square's place. Without doing a detailed mathematical derivation in the style of Bell's, it's easy enough to play around with this and see that as long as each experimenter is choosing the square randomly and has no knowledge of what square the other experimenter chose, there is no classical way for them to both guarantee that they both get the same fruit whenever they tap the same square, and to guarantee that they only get the same fruit 1/4 of the time whenever they tap different squares. They could only do the first if they had agreed in advance something like "regardless of which square we choose, let's both make the result be a lemon on this trial", but that would mean that even if they pick different squares they would both get the same fruit. On the other hand, if they had made no agreement in advance about what fruit to "will" and couldn't communicate once they were moved to separate locations, then their ability to choose the fruit wouldn't help them to guarantee that they reveal the same fruit when they choose the same square.
