The "riffle shuffle" (dovetail) is presumably taken to be deterministic? I take the shuffling of a card-deck to be non-deterministic; but what do I know, I don't hang around in casinos or with card-sharps.
A good card shuffler can absolutely deterministically shuffle a deck of cards by making sure the shuffle alternates cards perfectly. Do this a few times and you get back to the original order.
Yeah, I get that; I wouldn't bet on a riffle-shuffle if it wasn't augmented by (a) my cut, and (b) an alternative shuffle. But I regard determinstically shuffling as cheating.