Any coach worth his salt looking to move up will think that the Texas job is a great job and think they can get things turned. If Charlie has done anything, he has at least put more talent on the roster and has found a competent quarterback, so a new coach will be ahead of the curve than what Charlie had when he came in.
I would be more than surprised if Tom Herman had no interest in this job and I would be even more surprised if he turned schools like LSU, Texas, and USC this offseason when they come calling. Unless Houston gets moved into a Power 5 conference, they are always going to have play lights out to be in any national conversation similar to what Boise had to deal with when they had Chris Petersen.
If Texas is shopping for a coach in December, then there needs to not be any BS'ing going on and they need to make the man at the top of the list feel wanted from the jump.