.... but Texas might demand BYU...
I’m not sure where a worry like that got its start, but as a long-time fan of the Horns, it strikes me as improbable.
Texas has always hated ankle-biting church schools who drain more than they contribute. The old SWC was hampered by church schools with small enrollments and small, apathetic fanbases.
Texas, Tech, A&M and Houston tried to leave all of the private schools and join the Big 12 in 1996 but Baylor was politically connected and usurped Houston.
I was surprised when TCU was invited into the Big 12 sixteen years later and I’d be even more amazed if Texas supported a BYU invitation.
And on top of the church school stigma, there’s also the Sunday ban. Texas may be known for football, but historically Texas has always been more relevant in baseball. I seriously doubt Texas wants to take its players out of class on Thursday and Friday for a three game series in Provo just because BYU won’t play on Sundays.
Also, as UConn fans, keep this in mind. In 2012 when the Big 12 invited WVU, OU supposedly wanted Louisville. In hindsight, Louisville might have been a better choice but in 2012 it was a wash. So why did the Big 12 invite WVU? Because supposedly Texas preferred WVU because it was a state flagship university.
Unless Texas has completely changed its tune, I really can't imagine Texas choosing BYU over UConn.
I think the problem is Texas isn't overly anxious to invite anybody just yet. I'm not sure if it's complete indifference or a negotiating tactic.