Great question. My answer is generally yes, although my reasons and reasoning may or my not justify it. The first reason you covered, generally I am more concerned with killing them then recovering them. I am not sure that 100% ethical, but I am stating the truth. Also in some respects their size allows you the mostly just hit sufficient body mass and kill them....
I have only killed two coyotes with a bow, both were shot at and in the vitals...I have shoot probably 75 with rifles and shot guns, both calling and running them with hounds. I am much less picky with my shots with gun in my hand.
"A man with no enemies is a man with no character.Ē...........Paul Newman
"It is good to have and end to journey toward; but it is the journey that matters, in the end.".. Ernst Hemingway
"Happiness is a blood trail".......Me, Trial153