Well, I've hunted the Bab' for well over 30 years (archery) and, in my opinion, it is stable but in trouble. It's not even close to what it used to be like in the 80's, 60's, etc.....or when your grandfather hunted it. Overall deer numbers on the plateau extremely low, and mature bucks are far fewer than in years past. Now having said that, a few nice bucks are killed every year, but there are a just a handful. Most 4x4 bucks that people are killing up there are 130-150" type bucks........not a mature deer for up there.
I know a few rifle guys that have been successful in the early hunts. They prefer it, as they can hunt on top of the plateau in areas that represent summer range. If you do a few scouting trips up there and have an idea of what caliber buck you'll settle for, you could have a good hunt up there. I imagine that early hunt is gorgeous in terms of aspen colors.
I scout it every summer in areas I've arrowed bucks over the years. Where I would see 5-6 bucks that would score over 180" in years past.......I may now see one buck that will score over 165". JMO