So this come down to 1 single scientific fact. No one can create a "completely random" program. Same as in poker NLH has not been solved. In the computer world no one has been able to create a program that is truely 100% random....
With this said I believe it's less about the players, and more about the randomizers...
Now people will say, "well the sites dont benefit at all figuring they pull rake."
Which is very true, but if the randomizer isnt 100% random, the system will naturally lean favoritism to players that play "Most Optimal" based off statistical algorithms....
I also believe this is why you see a lot more of the nasty beats online compared to live. The randomizer is trying to compensate for
hands that were played too aggressively, and got a fold. Compared to hands that were played correctly, and made the wrong fold because of a maniac style player.... and vice versa, a player that plays too passively, and allows themselves to get bluffed off by less....
Now I dont believe the sites do this purposely or maliciously. It's just the randomizer doing it's best to be random.... but I will say I can see the profit on top of rake leaning toward favoring these situations cause your gonna get bad players to continue to deposit, while the good players are confadent in thier game to hold on to larger bankrolls without withdrawing more then half of it at a time....
This protains to mostly Micros though, at the larger stakes most the players play optimally, allowing the randomizer to actually be closer to random then the lower stakes.