I did some work for them about 10 years ago and the setup seemed pretty gross at the time (although the people i actually worked with were great).
Apparently when the Alaska Native Corporations were set up, folks were aware of what a terrible failure the Indian Reservation system had been in the lower 48 and knew they had to do something different. And as far as I can tell, Alaska Natives have a much higher opinion of their native corporations than American Indians do of their reservations. So I dunno ... it's a gross corporation, like many others around the world, but it's a gross corporation that belongs to, and works on behalf of a population that could easily just be victims of said corporations. At least they've got one deep-pocketed organization in their corner.
Mixed feelings about the board too. I wonder how many other multi-billion dollar companies have a board member without a college degree? ASRC has several! On the other hand, 4 board members are female and there are a wide range of ages too, so their democratic board selection might yield a good diversity of experience and outlook.