They might, true, but they don't. No variation in time is discernible by the results - and it easily would be in any entanglement. The superposition follows a conservation rule. So there is no local time evolution, which is what the OP imagines.Yes, the proposed model is superdeterministic. I believe this is the principal point that makes it uninteresting.
I don't think that this is a problem because QM states do evolve deterministically. Bell also explains, in his famous 1964 paper, that hiddden variables may be considered as initial values that evolve dinamically with time.