I think it's sorta easy to use the word "coward" when the animal is still alive.
However, if this was your cat - and it got hit by a car, and you raced to the vet, and the vet said - "this cat needs all 4 legs amputated, and I can't even say that she will survive the surgery, given the level of trauma" -- and if that owner, who loves that baby as much as anything, puts this baby to sleep - would she be a coward too?
I'm just asking.
I had to put my cat, Einstein, to sleep when she was 20. She couldn't articulate to me as to whether that choice was correct or not (for her). Making that decision sure as heck didn't feel cowardly. In fact, it hurt like hell. And it still does.
I can't speak for the kiddo in this video, but I'm not a fan of using cowardice as a scapegoat for the decision to euthanize. I think the decision to euthanize is very personal and it's not a simple decision

.