They have four. So does Utah. Both have one NC. UA has 11 elite 8's. They are likely to be Top 25 year after year.
Utah isn't a little brother to anyone in Utah, it's clearly the lead university and has the most fans and best football team. BYU is not > Utah in any metric.
I said it before and I still believe it, if the Big XII could have added Pac schools, BYU, Houston, UCF and Cinci wouldn't be there. That said, the Pac is failing in part because the Big XII was aggressive with those moves and got a good TV deal.
I think UConn has a great case here. I think Yormark sees it. But let's not pretend that it's not a lot closer than your post suggested. Everyone saying we'd be clearly > Utah isn't being realistic. Fortunately, I think Utah wants to stay and will use what leverage they have by doing so to get Utah State in.