Will it make you a better chess player? The simple answer appears to be: no.
It one my gripes with classical education. What benefit is there of learning Latin? Well, you can read Virgil in the original, and if that is your thing, power to you. Will it make you a better person? No, just no.
(Maybe, you'll have a slight, slight advantage when learning another Roman language. But surely, you would have been much better off to learn French to begin with, if that was the goal.)