The song has been played at the end of countless graduation, retirement, and other ceremonies, so I wouldn't be too concerned about the song choice. As braindead as Bell is, it's still hard to believe they purposely picked a song called Good Riddance to be malicious. It's realistic that, like in most of these situations, the person in charge said something like "Let's go with that 'Time of Your Life' Green Day song" and the person at the controls put on the song.
I don't think they were being mean, I think they were being lazy.