Comment by pyrale

The cost/information function of moves exists in poker regardless of whether it's tied to actual money. You put your money in a hand if you believe that you have good ev, whether that ev is labeled in chips or dollars. I don't see how changing the rules of chess (therefore changing the ev - of course if you change the ev that changes players' behaviour. But that would be like changing the poker ruleset, not changing the money value of chips) makes a comparable case.

Let me give you a counter-comparison: if regardless of which chess piece was moved, after both players had made a play, they could bet on the game outcome (therefore not changing the ev of a move), I'm not sure players would want to play differently.