When you have enough money, any program can make problems disappear quickly. You are right that whatever negative impacts are short lived.
But the difference between Urb to UT compared to Urb to OSU or UF is that each program had been successful up to about 3 years before he was hired. UF had a natty in 1996 and rolled off a bunch of 10 win seasons. Zook got the job because Spurrier was so successful running that program he left for the NFL. Zook got hired and fired quickly, meaning Urb took over solid program. It pains me to complement UF but they didn't hesitate to cut bait early with Zook. If Miami had fired Coker 3 years after hiring him (so 2004) and hired Meyer would you say Meyer had a huge reclamation project ahead of him? Probably not.
At OSU, Urban took over a 12 win OSU team. Come on now. They didn't need much help.
Cant argue that he didn't turn Utah (a MWC team) and Bowling Green (FCS?) around but the narrative that he's gone around fixing broken programs is a bit overblown. Texas is a huge mess. He hasn't dealt with anything like that since Utah in 2003. I don't doubt he's capable of winning there, but I question whether he's willing to put up with the endless bullish!t of boosters and politics at his age and health.
Like I said, I think USC is a much better job. I can see him wanting to coach again some place with a friendly media (he'd own LA), lots of $$$, and no one to answer to. He's going to have a lot of boosters expecting back rubs at Texas.