I guess we will have to agree to disagree on this. Would you pass on a chance at a coyote because it's not table fare?
Groundhogs are close to public enemy #1 around here. They are highly destructive. They chew the furniture on my deck. They invade drainage pipes and clog them and cause erosion and water back-ups. They dig holes in hay and crop fields which leads to broken machinery and lost harvest time and farm revenue. My neighbor rolled a 6,000 lb tractor over on himself because he hit a groundhog hole while making hay. My buddy had his barn collapse because a ground hog decided to dig a hole directly under a support post. I hate them and I will kill every one I can. I usually kill 40 or 50 per summer. And a dead one doesn't go to waste. Hawks, vultures, coyotes, fox, possum, you name it, they all quickly find and eat a dead groundhog.
Starlings are a horrible invasives from Europe introduced to N America by humans. They are one of the prime reasons why the American Bluebird is in decline. They are hard on seeded fields and other grain. And dead starlings are also quickly eaten by a host of carnivores and scavengers.
So, you guys that need some bow practice on live critters can shoot 'hogs and starlings with a clean conscience.