Interesting...
But when it comes down to it, a shepherd's charge ends up as mutton, while a deer hunted down ends up as venison. Not sure it makes much difference in the big picture. An agricultural, settled culture like the ancient Hebrews would naturally see these things differently than, for example, a Native American culture that survived by hunting down wild animals and killing them.
If you accept that you can eat animals, I think the method of killing is not that important.