That's why I said there are outliers. They happen of course. Jesus, you can do your ACL playing a round of golf. Which is basically a brisk walk for angry people.
I'm not trying to play baseball down, in fact quite the opposite, but I would argue that it's major issues are with wear and tear with some impact injuries in there, which is reversed for other two sports mentioned.
As I keep saying though, they are incomparable. All the sports are very tough on the body for differing reasons(in the main).