I’ve read about the snow cock hunt.
From what I read it’s done above timberline, often well above. It seems to be more of a “trophy hunt” than a wing shooting adventure.

Difficult terrain and weather, no dogs, low success rate etc. Not too appealing to me at this point in my life. I spent months of my life under miserable conditions sheep hunting, no need for more.
Probably would have loved it 30 years ago.