I have played this way, except for the river fold, on purpose (maybe 2k hands), just for the sake of getting to know the fish mindset - as an experiment. I did it to find a counter strategy versus such players. But this fish emulation didn't include folding on the river with any sort of hand, and it did not really include playing that way multiway either.
If you are looking for a bizarre way to put people off, then consider this: On the button, with AA, if there one a raiser, just flatcall preflop. AA plays very well 3-way (whatever people say), so you waste very little EV (some dead money from the BB + 1.xx extra small bets from the raiser and the BB) before the flop. Then you'll regain most of it (plus maybe some more if you are lucky) by pure deception on the later streets (turn or river) by putting in a raise with a completely disguised hand.
This sort of play is not popular among the experts, but most people make plenty of highly related plays anyway. (The judges would have my tongue cut out for saying this ♦.) They flatcall AA, etc in the BB vs one raiser, exactly for the purpose of deception. The latter play is so much easier to "balance", meaning people can't find a counter strategy (very easily, at least) . But, anyway which you do it, you must somehow regain what you lose preflop by RAISING on a later street. On that board, well, I think you are still good enough, even on the river, for a raise.
/Johan =