I don't necessarily turn my head, but I'll admit, I CAN'T STAND to see em suffer. I too spine shot one once and as soon as I noticed it I got down as fast as I could and cut her throat.
This is one of the big reasons why I practice, practice, practice. I want to know that anytime I sqeeze the trigger on "one of my favorites" listed in my signature, the bullet/arrow is gonna hit right on the mark for a clean, quick kill.
Unfortunately in this sport, $HIT happens sometimes, so that 2nd shot is necessary!
IMHO, there's nothing wrong with a little soft spot for not wanting to see an animal suffer!