Definitely a situation fraught with danger sometimes, but also tangled with variables. If the head is down, I come in from behind and cut the throat. If the head is up, I whack them with my arm of choice at the junction of the head and neck. But that's a pretty simple description of the two extremes and not all the other possibilities between them. I've slaughtered a whole bunch of livestock in my dusty years, and even in controlled conditions in a chute things can go haywire, much less an animal downed by a car at the side of the road or downed by coyotes in a field.
Watched a buddy walk up and straddle a "dead" deer to gut it. Deer wasn't dead, and he ended up in surgery to repair the damage to his huevos when it kicked. Stupid stunt, and for good reasons we now call him One Ball. :shocked2: Following the example of an African guide buddy, I always touch the eye of "dead" game with my rifle muzzle to test.