This sounds like Nash equilibria. Even if chess has a Nash equilibrium it might not be unique. I don't know but I think that even if we had a 'classification theorem' for chess, ie a list of all possible games and outcomes, that might not mean that there's only one possible outcome, like always a win for white or always a forced draw or whatever, even with best play.
White absolutely wins
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I realized that there is chess 960, with random positions.
Once I read an article, where they argued that if (when) computers would be so strong that they will be calculate every single move, that white has absolutely advantage, which would result in best case for black - draw, but if not white absolutely wins.
Even back in the old days, some masters proposed random positions in each game. In that sense openings would also lost its meaning as only tactics would count.
Thoughts?