The questions isn’t about a game, it’s really how you define “wrong”. Going to a game isn’t wrong per say, however it’s not exactly the “best” thing either”. It’s one of those “gray areas” that we put on the “there’s nothing wrong with it, or whats wrong with going to a game” list.
That being said, the fact that there is Kosher food, “minyanim”, etc etc at games does NOT make it a Jewish event or “muttar”. I have davened at these “minyanim” and it’s a complete joke. Try davening while people walk past you half dressed, drunk and yelling. Or try davening while a great play happens and the crowd erupts cheering.
Again – everyone has to do what he/she feel is right, including to define the word “wrong”.