First of all, I personally don't care for anyone that hunts for food I think people have hunted and gathered food for millennia but here's the problem with that it's not a long-term strategy and we could actually learn some important lessons from our ancestors.
After centuries of hunting sheep, goats, chickens, and most domestic animals kept for food today they realized that sustainability would only arise if they are domesticated and bred for food and the same is true today.
Am not an expert but the way I look at it is the best and healthiest of any particular wild game hunted are probably taken out fast and doesn't take rocket science to tell that that particular genetic line would slowly be lost leaving behind the less impressive or productive if you like to put it that way.