I am not saying hunting desensitises people to killing humans, I am saying that it can be used to do that. If you want to teach somebody to kill without killing a man, then killing an animal is the next best thing. If you live in an ancient or medieval society where it is necessary (or perceived as necessary) to militarise your youth to kill, then getting them to kill animals at range and in close quarters is a good first step.
I think you are reading too much into what I am saying. I am not saying hunting turns you into an amoral killer.