I beg to differ. I believe it is YOU who could get into a lot of trouble thinking this way.
PREFLOP, you are correct. But once the flop comes, you are absolutely, positively, 100% incorrect. Think about the AAA flop example, and I'm confident you won't tell me that with 10 opponents at a table, every 22 hands someone at the table will be holding AA... because you could deal that out 1 million times, and I promise you that not ONCE will someone be holding AA if the flop is AAA (assuming a legal deck, of course).
Poker is all about using all the information available to you when putting your opponent on a range of hands. Sometimes, we discount hands like 83o when our opponent makes a preflop all in reraise from middle position, because MOST people don't play 83o like that. Mathematically, it's just as likely that they are holding 83o as it is that they are holding AKo, but I promise you, they will show you AKo there FAR more often than they will show you 83o.
When you are "decision making," you need to use all of the information available to you. If the board is showing the Ac, for example, you CAN NOT put any of your opponents on the Ac (I promise you they won't have it), even though preflop, there was a 1/52*2*10=38% chance that that exact card could have been dealt to one of the 10 players at the table. That 38% figure will always be true when we are speaking in terms before the flop, but as soon as the Ac hits the board (on the flop, turn, or river), the new and improved chance that one of our opponents is holding it becomes 0%. The same is true for the AA example, and also for what you wrote initially:
This is an incorrect statement.