There’s always been a bit of tension in the area, and using a helicopter to cull the invasive species ultimately feeds the coyotes (maybe mountain lions?).  Considering the area, it’s probably the best way to deal with said unbranded cattle.  Re when I visited Catalina Island (offshore from Los Angeles), the forest or park service did the same for feral hogs
Years of drought have put the kebosh on a lot of southwest cattle ranching, plus a lot of the kids don’t want any part of it preferring city jobs.  It’s basically 130 years of ranching history down the drain, and emotions could be a little high.  Ted Turner does own a ranch nearby trying to reestablish the North American buffalo (bison), so maybe others should switch to those eventual cheeseburgers?
Naturally outsiders are to blame including backpackers and any hunters, which would have to go through the state actually.  Heck, backpackers were blamed for Lake Powell’s initial dip 20 years ago.  Back to Southern NM and far west TX, there’s actual rustlers who’ll take cattle across to Mexico so it’s best to avoid a gun fight and go full Apocalypse Now air assault on the rogue heifers (referencing the 1979 movie for you youngsters).
Bonus points if the Forest Service helicopters play Wagner’s Ride of the Valkyries.