Which is more important: the pitcher or the catcher?

Or are we missing the main point and forgetting that the ball is the essence of the throw?

From a philosophical perspective, which is the more important? Can a catcher catch without a thrower?
Can a thrower throw if he has no-one to throw it to? Should a thrower throw if there is no-one to catch?

Can either do either if the throwing “it” doesn’t exist in the first place?

Or do we have a co-dependency in the sense that for the actual outcome to exist, one must have the correct combination of all three?