I think Coach Carr was an excellent coach and represented the University as well as anyone during his coaching tenure, but, I think as an associate atheletic director, he failed as bad as the team did during his tenure. As the previous head coach he had no responsibility to speak about the current head coach, good or bad, but he did as the associate AD, where he should have been a PR advocate of all things Michigan Football and helped be a face of Michigan football.
I think this was a poor choice to put him in this position, as he didn't like the media, and felt things should have been handled internally, and also remained a power position with an opposing view than the current coach, for how the program should be run (not a slam on anyone, but all coaches, Hoke, Carr, RR, Bo, run things differentyl). I think Brandon recognized this when he let Carr go, and it's for the benefit of both sides.
With all this said, my fandom grew exponentially when I started at Michigan, and Coach Carr was there to lead me through it all. I still get teary eyed when he got carried off the field, and that is how I choose to remember his legacy.