Wow, alot of different opinions here. ...distance!!! ... So four variables: distance, under fifty yds; handgun vs rifle, rifle is preferred; ammo, use the hypers.
You left off the other variable. The hunters thoughts on hunting ethics. That one seems to vary widely based on who's doing it. Someone above mentioned there are so many of them, someone's got to start shooting them.
I used to work with a guy who's mother still owns the family homestead. All was well until he started noticing the little white tennis balls out in the yard. A local group of 'yotes was dining on the barn cats. Then he discovered his favorite kitty had become supper (he surmised, he couldn't find it when he went calling for it.) So he did the normal country thing, he got mad.
So based on his sorrow and loss, he started shooting. It didn't matter much to him which end of the 'yote he hit, just so he drew blood. If it died a lingering death, he just didn't care. The dead part was what he was seeking. It did several things. After a few nights of shooting, it seriously reduced the number of them in the area. And the few that were left learned his mothers farm was a dangerous place to try to steal a kittyburger for a snack.
I felt the same way about rats in my illspent youth. A bullet in the rat, regardless of where was a good thing. You folks are all rich and can obviously afford a $1 a shot from a centerfire rifle, or nearly as much from a shotgun. 50 years ago ammo was expensive! Even if a 22 cost just over a penny each, I couldn't afford to waste them (I know others could, they'd get a semi auto and prove how fast they could empty a magazine.) But my shooting conditions were far worse. If my dad bought a box or 50 22s for 75 cents, it was a penny and a half a shot. If I could show him a respectable pile of dead rats, he'd buy me another because I was working at it. If I showed him a few dead rats, I was just wasting ammo and plinking, so I had to buy my own ammo. That was the incentive for fairly quick kills. Find and pile the critters up. Had nothing to do with clean quick kills. But if he wasn't seeing any rats by the grainery or corn crib, I must have been doing something right.
Different standards for different folks.