I know this is true, but I question the premise. It's like hiring a new doctor, something I've had to do recently.
Who's the better choice: an experienced coach who has lost a senior position or a new kid who's up on the best new knowledge? We settled on the new kid as our doctor. Somebody recently out of residency has enough experience to take on the usual complaints and enough new knowledge to address new ones. Kirby obviously thinks it's a good idea to take on failed head coaches as analysts. Personally, I'd rather have someone who has a more analytical cast of mind and some experience. Kirby is thinking like the old scouts in Moneyball; all that experience counts. But, in Muschamp and Bobo's cases, that experience didn't amount to much but a long career built around an old boy net rather then results.
So, yeah, I'd use students/GAs as analysts, provided they showed some analytical chops. And I wouldn't worry too much about it.