Lets assume 2 AIs facing each other , both play perfect poker. Would position still matter in their battle?

From my logic, position only matters because your opponents will make more mistakes being oop , and you get exploited to a much lesser degree by your opponents . So , in a world of poker, where nobody plays close to perfect, those things matter. Human psychology and human error will make positional awareness a very powerful tool .

I am playing professional online poker since 5 years, and i am well aware of the effect position has on your winrate , but would that still matter in a game of 2 parties who play perfect poker ?

Consider chess, in professional chess white wins more often than black, but as far as i know, it is theoretically not proven that white really does have an advantage over black, given both parties play perfect chess?

https://en.wikipedia.org/wiki/First-moveadvantagein_chess

"You will win with either color if you are the better player, but it takes longer with Black." – Isaac Kashdan

or take checkers : " The conclusion to be drawn from the completion of the database: with perfect play by both sides checkers cannot be won or lost. The game will inevitably end in a draw. "

If my thinking and reasoning is flawed, i am very happy if someone can shed some light on this .