SO!

Galbadia Garden has a hockey team. Balamb doesn't. Trabia would be more likely to have one, but if they ever did they do no longer for obvious reasons. I suppose you could assume that there are schools in the towns, but no one ever speaks of them and especially not their probably non-existent hockey teams. So who does Galbadia ever play?

My theory: Trabia was really nuked because Galbadia was tired of losing to them in hockey.