Yes, the BYU-Texas game last year cost the DC his job and, after the season, Brown. OTOH, Texas fans blame that less on BYU and more on Brown; that BYU merely exposed the problems caused by Brown. You can still see it after their loss this year, they still feel that Hill and the team didn't deserve credit, that it was still the problems on the team that occurred under Brown.
Similarly, the problem with Ash, even if you use the BYU game as the beginning of the end, still ends up with Brown and the other coaches. They allowed him to come back in two weeks, only missing one game, when hindsight clearly shows that he needed more recovery time.