No. Their performances are the same when they believe it is an ability.

Lots of people like to believe they got something from working hard for it, when they really had a lucky breaks (genetics perhaps for math?, height for basketball, rich parents for business).

I see this in sports interviews all the time. The current best in any sport is always "the hardest worker." Too bad nobody else in the league ever thought about that.

What effect nature has on it may be unclear, but it is definitely there.