Dane your interpretation of the long run in this context is wrong. A computer roulette bot should run for large samples.
A human player plays always short run sessions.
I am also a chessplayer. I do not agree your conclusion. High excellent humans are mostly extraordinary.
I am a chess player too!
In my teens I imagined that excellent chess players must be extraordinay. Almost superhumans!
The conclusions that I draw today are far from that. As you might have guessed, my feelings for chess are not entirely positive. I know one chess player who is rather paraniod. Of course you could argue that he had paranoid tendencies before entering the game of chess.
Once I imagined that great chess players might be gifted with musical talents too.
The erly master Philidor was also a composer, you see!
And the almost mathematical structure in some music may remind us of some squares.
And the Black and White Things in my piano might be compared to the 64 Black and White fields, LOL! Seems to be a romantic dream.
There is more to life than chess. Although the excellent Garry Kasparow in one of his books has tried to show how life imitates chess, there might be something that TRANSCENDS that. Some holistic insight that might include all of our brains and not just the mathematical side. Many of the chess players I know, however, are not ready to accept that.