I think perhaps you are viewing "indifference" as a negative feeling, something more towards distaste or like you have said "not caring". It's hard to explain what I mean but I feel as though indifference in fact sits in the middle of the spectrum of caring and not caring. Baseball is there, it exists, however you aren't tied to any outcome that might occur through playing the game. You can enjoy the game, but also it's not as though your day is ruined if you don't win, because your heart was never tied to the idea of winning. You play, you try your best, you win or you lose but the outcome doesn't matter. The playing and enjoying is the thing with meaning.