Actually, the baseball analogy doesn't work well for me. Playing catch and playing the game access the same parts of me, just in different ways. I don't see one as a more complete version of the other. They are both different ways to express playing with a ball. I see playing catch and playing the game two smaller aspects of something larger. Both of them are ways to access that larger idea.
My sexuality is accessed and expressed in many ways. None of what I do sexually is exclusive to that.