Seriously, what's the difference between a non-local variable and a deterministic function that yields a pseudo-random value? From what I understand, we have s

Seriously, what's the difference between a non-local variable and a deterministic function that yields a pseudo-random value? From what I understand, we have some function f that can be evaluated by the measurement and we have another, entangled function g, that can also be evaluated but will yield the opposite of f. Now instead of assuming that f is truly random and somehow communicates its value instantaneously to g when evaluated, we could also assume that f and g contain a copy of the same pseudo-random number generator and the same seed. In both cases the interpretation of the model is weird, of course. But I don't see a fundamental difference here that wouldn't allow for hidden variables. It's just that the hidden variables would be have very non-trivial domains.