Hello,
Well I think Dr Pearl is one that does many pro ball players surgeries, so he is a pro if they trust him to keep them playing..
I haven't read of a TOS- ETS connection before now but it could be possible.

Depending on how long you practice & how long you have done those things, the musical instruments, and sports & desk activities, those can all be a factor with TOS. Forward head/forward shoulders postures & static postures?
Baseball you usually move around a bit more so less of a factor unless you are a pitcher..