I am sure Joey is not the only one that says it and says it loudly at a baseball game. I am willing to bet others players or coaches in just that game said it too. It has been going on in baseball since baseball was invented. If you went to an Orioles games back in the day you had a really good chance to hear the f bomb.
Warning: bad language
As far as sheltering kids, if your kids have been on the internet, they can find just about any bad word imaginable on sites that would not be blocked by any protective software.
Unbecoming, maybe. Unprofessional, possibly. Yet everyone already knows that if you take your kid to the ballpark they will have a good chance to hear some bad words. I am also sure there was not a single kid in the ballpark that day who hadn't already heard someone else say it.
Personally, I don't care. It's just a word.