I don't know squat about NM sheep tag legalities, but know I have never been drawn for one. I will leave the decisions up to the residents whom "own" those animals to decide or at least lobby for.

I will say though, that there are ALWAYS unintended consequences to this type of thing. In 2010 (ish) when Montana residents pushed to drop outfitter allocation tags (to which I cautiously supported), I was apprehensive about what the downstream results would be. The initiative passed and IIRC it turned out that license revenue dropped so much that the state wanted to raise prices for all tags, to which residents further complained. I am sure all kinds of other downstream effects also happened but am not recalling any specifics.