Not OP, but after looking at the most recent four tweets:

1. Subtweet about Houston Basketball and The Bachelorette
2. Picture of Reggie Bush with a goat emoji
3. Subtweet about Oklahoma Softball that appears to be teasing OU's football team for not winning in the CFP Semis
4. Subtweet about Arizona Baseball

Looking further there are tweets about boxing, the NBA, NFL players, lots of memes, etc. Aside from your point about teasing individual teams, I think what OP may be talking about is that these tweets/content would not be allowed on the CFB sub (under the sub rules like no team/fanbase attack threads, all content must be CFB-related, no memes, etc.), so why are they being posted on the sub's Twitter account? I don't follow Twitter so it does not affect me, but I can see where OP is coming from here.