Both are legal, both are moral, and why you go, just as long as its legal, is nobodies bidness.
I don;t see varmint hunters making prairie dog jerky or anyhting...
Did I say that I see anything immoral about it? It's just what I associate 'sport hunting' with. A sport hunter is the guy who goes out hunting Rhino, big cats and such in Africa. A sport hunter goes out in the woods and will let the 6 point buck go because his goal this year is at least 14 points. The hunter after meat will probably take the shot.
Either activity is perfectly moral. For game management during a low population problem I'd probably want to have the sport hunter stop before I stop the hunter looking for meat.
Heck, I'd definitely find it moral to allow hunters to 'put down' sick animals - If the deer is obviously victim of CWD, take it out and the game warden will give you your tag back. Heck, I might even support them paying a bounty. (No, you don't get the meat, doubt you'd want it either).