I wouldn't say this "ruined" the movie for me, but i had a lot of trouble getting past this. What exactly was his background? He is a wolf shooting specialist? How did he get this job without knowing you stay with the plane in this situation? Also, is this a real thing? Do Alaskan companies always hire someone to shoot all the wolves so they don't attack oil workers? If they didn't would everyone up there be getting eaten?
I performed an absolutely perfunctory amount of research, and it's not really a thing. Rural communities usually hate having wolves around, but that's mostly because they fuck up livestock. Children alone and away from habitations are at some marginal risk from food-deprived wolves, but that's basically a bullshit concern, too. Wolves are afraid of people.
An oil company definitely wouldn't need to hire a special sharpshooter to keep wolves from picking off workers. It's silly. Polar bears might be another matter. They'll actively hunt people. (But Liam's gun was too small for that, anyway.)
Not staying with the plane is beyond idiotic. Even if we suppose that the wolves are an active concern, it'd be better to be sheltered from them, and the notion that no one will search for the plane is st00pid.