That is indeed what I was referring to. To clarify, plenty of classical physical models work only with distributions too. You don't need a random oracle because your model doesn't predict a single microstate. It wouldn't be possible or useful to do so. You can model the flow of heat without an oracle to tell you which atoms are vibrating.
Yes, all this is true, but I think you're still missing the point I'm trying to make. Classical mechanics succumbs to statistics without any compromises in terms of being able to make reliable predictions using a TM. But quantum mechanics is fundamentally different in that it produces macroscopic phenomena -- the results of quantum measurements -- that a TM cannot reproduce. At the most fundamental level, you can always make a copy of the state of a TM, and so you can always predict what a given TM is going to do by making such a copy and running that instead of the original TM. You can't make a copy of a quantum state, and so it is fundamentally impossible to predict the outcome of a quantum measurement. So a TM cannot generate a random outcome, but a quantum measurement can.
