As far as I know, the issue Hage won on was actually based on the unfair/illegal treatment he had received from the BLM, that they had systematically tried to put him out of business, etc. Hage used that in a countersuit. Hage fought on many issues, in different cases but that is the only one he won on. It was overturned later but that was his only winning issue to date.
Nope - Hage’s latest win has not been overturned. Hage duid have a countersuit, but his defense and suit were based on Nevada grazing law and grazing easements.