My preference is a culling. I just don’t consider shooting critters from a helo, to be hunting.
Wolves kill sheep for fun. Do you call that hunting? Bobcats, mountain lions, coyotes, all of them do the same.
At its most basic and general, hunting is searching for something. Period. In this case, it is searching for a game animal to kill it for sport but hunting also includes extermination and killing for food as long as it involves a search. All that differs here is the means. Hunting is not for sport alone although that has become something of a modern definition.