I don’t think this is obviously true… We don’t know for certain the nature of reality, and cannot positively claim that a hash table would give the same results

I don’t think this is obviously true… We don’t know for certain the nature of reality, and cannot positively claim that a hash table would give the same results as a sufficiently advanced predictor, because it supposes the predictor is deterministic. Assuming the predictor is advanced enough to be considered intelligent, that might not be the case.