I have dispatched animals for yr’s and have been asked this a fare few times, mostly road casualties you are right at close range a 410 is my preferred tool of choice, and nothing survives it, or a .22 rimfire is ample, the problem you have is when the animal has antlers, or you can’t get up close, when they are antlered it’s hard to cover there eyes, as in a jacket over it’s head, to quieten the animal, I know most are laid shocked up and to dispatch is easy, it’s not that I will choose to use a 410 slug as a first round of choice, but I believe it has its place, and to be frank I have seen p