But this is where stuff like prediction markets shine. In chess, for instance, the prediction market odds are going to be way closer to the outcome than might be expected because of the players' ratings. This is because skilled bettors are capable of considering things like exact matchups, history, short-term performance/form, and many other factors that a static rating can't really account for.
Incidentally this is also what makes chess games relatively profitable. Moderate-info bettors will do things like flip on their chess engine, look at the eval, and then bet on that. But a computer might say a position is a dead-draw when a stronger player can tell you 'white has big practical winning chances'.