I'm hunting coyotes for a rancher at this exact moment. Most of us don't wanna make a bad shot especially with the two dollar bullet most likely loaded in 1000$+ rifle
But... Lets not pretend bad shots don't happen.... But, I like the above post about life not being Disney.
If a spinning coyote gets you worked up, don't watch bow hunting shows.
You should see an animal that has been ham stringed by a coyote, or had its guts ripped out for no reason. That will bring the honesty to the ranches lol.
I guarantee that those hunters you saw probably went on ten hunts where they didn't get nothing before they shot one.