It very well could make sense to take UConn over BYU, but not because UConn is set up for football success better. BYU has more football upside than UConn in every way looking into the future, if you count the past then it's even more lopsided for BYU football.
BYU is known as a dirty football team.....maybe the dirtiest. They are known to take cheap shots to put players out of games. I really don't think Oklahoma has forgotten the shots that Sam Bradford took when BYU played the Sooners. The Big 12 is not looking for a football power to challenge Oklahoma and other football powers in the Big 12. If you listened to the Oklahoma Board of Regent member then you would acknowledge that he actually does not want other football teams to have the upside to challenge the Sooners.
Big 12 is looking to launch a Big 12 Network. Bringing in BYU makes that even more complicated. The complications and hassles just aren't worth it. The Big 12 Football brand is strong enough with the teams we have. Big 12 is looking for additional conference members to get divisions and a CCG and a Conference TV Network. And media market. That is it.