In my mind, they had to start fouling early given how far behind they were and because UCONN was not in the bonus yet. I'm not saying it would work and I don't know if I've seen it before and certainly could have ended up being a 20 point loss, but they needed to try something to win the game. To let UCONN run their offense and using the full shot clock is essentially surrendering.
Your numbers in the Texas show exactly why it had to start at the 2:30 mark if not sooner. They shaved maybe 7 in in 1:15, so to cut it down from 11 or 13, wherever it was, required an earlier start.
If Geno didn't try something when down by 11 in a championship game, would we say he had class for not fouling? I doubt it. Geno never quits and most certainly would have tried fouling the weakest FT shooter to get back in the game.