The fermi paradox asks why we don't see more complex life in the universe if we exist? Essentially, it seems either would naturally develop in our universe, in which case it would be plentiful, or it is a fluke, in which case we probably wouldn't exist. The metaphor I've heard for the latter is that the chance of life forming in a universe with thermodynamic laws like ours is orders of magnitude less than a tornado going through a junkyard and assembling a 747 jet.
If, as I understand it, any time an a stochastic event occurs, it is represented in every possible form by different subsets of the collapse of the universal wave function, or more simply, everything that could follow from an action then occurs in a different 'branch', then doesn't that solve the Fermi paradox by essentially saying that in the majority of these 'branches' absolutely no life ever forms, but because life is extremely improbable but possible, it is likely that across all possible branches, you would see a few with life. Like if you ran a tornado through a junkyard grahams number of times, it would probably assemble a 747 in a few of those runs? This would mean that it is unlikely there are aliens in our 'branch', but there would almost certainly be other intelligent life in other branches, inaccessible to us.. though admittedly, we would have to look through a preposterously large number of branches devoid of life to find a single one with intelligent life.
Given this interpretation, wouldn't the many-worlds theory, if true, answer the question posed by the Fermi paradox?
EDIT: Response to commenter
The fundamental shift in logic changes from saying that: intelligent life is an event of x probability in a universe of y size, where x and y are unknown variables, to: intelligent life is an event of non zero x probability in a universe of arbitrary size, in which all possible sequences of events that have non zero probability are, at some point, "expressed" in the wave function (or in more concrete human terms: occur in a branch).
The whole point is that you DON'T need to explain why intelligent life is unlikely, you just need to say it has a non zero probability (which evidently, it does), and then many worlds fills in the gaps, because any non zero probability thing "happens" at some point in some branch. If the many worlds hypothesis is proven true, this would seem to have direct implications in that it may add credence to the idea that there is no universal tendency towards complex life, just an arbitrarily small chance of it occurring.