I don't have a background in physics, but I have an amateur interest in quantum mechanics, and I recently found out about the notion of superdeterminism. From what I understand, superdeterminism justifies the observed results of Bell tests by presupposing the existence of a hidden variable $\lambda$ that is not only correlated with the state of the particles being measured, but also with the measurement choices (thus violating the assumption in Bell's theorem that the measurement choices are independent). In fact, in a deterministic universe such a hidden variable must exist, because the entire present state of the universe follows directly from the initial state at the time of the Big Bang and the evolution of this state according to the (deterministic) laws of physics.
But it's not enough for this hidden variable to exist, it also must have the right value to produce the results that we observe when conducting a Bell test. Intuitively, this seems to be very unlikely if we consider an arbitrary choice for the initial conditions of the universe. So I can think of a few explanations (with different degrees of plausibility and parsimony) that someone might give for this fortuitous choice of the value of $\lambda$:
- Intelligent design: Some conscious entity has purposely picked the initial conditions of the universe to give the results that we observe (this seems to be how critics of superdeterminism most commonly interpret it; for instance, this answer compares it to Descartes' demon).
- Anthropic principle: For whatever reason, this choice of variables is necessary to produce intelligent life, so any other configuration is impossible to be observed (maybe this is trivially disproved by the existence of classical models of physics, but my knowledge is not deep enough to be able to tell).
- Newcomb's paradox: The future choice of measurement can be predicted by some physical mechanism, and this mechanism then sets the state of the particles appropriately.
- Luck: The choice truly was arbitrary, and it happened to be the right one to give these results (unsatisfying).
So my question is: which explanations (either the ones I listed here or others) have been used by proponents of superdeterminism to justify the seemingly improbable choice of value for the hidden variables that violates the Bell inequality?