IMHO, a hunter has a moral and ethical responsibility to be intimately familiar with the capabilities and limitations of his weapon and his skill level. An ethical hunter will only take a shot that he has a high degree of confidence will result in a quick kill. Many (not all) crippling wounds could be eliminated by people applying the above principles.
I concur with that, though the deer isn’t always cooperative. The only deer I’ve ever had get away (That I shot at) was bowhunting. I had a gorgeous broadside shot, and I took it. About the instant after I released the arrow, she swung her head towards me, and took it full in the forehead. She got away.
That said, yes I would take wounded deer. If I’m not happy with the look of the meat after that, I might leave it for the coyotes