Millions or billions of genes in a deer. Maybe a few hundred result in big antlers. I don’t believe that large antlers are meaningfully indicative of genetic health. Yes, they can indicate nutritional health, but that has nothing at all to with which one’s we shoot.
I’m not saying that none of the genes related to antler size contribute to health. I’m saying that gauging genetic health by antler size would select for less than 1% of the genes that contribute to health while ignoring the other 99%. Could genes unrelated to antler size cause poor health that resulted in small antlers? Definitely!!!! But I’m not aware of any scientific evidence that selecting for large antlers would result in improving genetics related to health outcomes. My GUESS is that it’s too small a pool of genes to focus on if health is what you’re after. So as far as using trophy quality, as a result of antler restrictions(not as a result of age class or herd size vs range conditions), I’m beyond skeptical. I don’t think it works.
Personally I like big antlers. Let’s preserve the genes that produce big antlers if we can, so that we can grow more deer with big antlers because we like them, not because selecting for big antler genes definitely improves health. BUT!!! Does protecting small antlered deer through antler restrictions cause large antlered deer to pass on their genetics more successfully? Well, imagine that you can only kill 4pts bucks. You make a guess, do more 4pt bucks breed in the future or less? Let’s change the restriction. You can only kill bucks with a 20” or wider spread. Guys who would have shot an 18” wide 4.5yo, are now encouraged to shoot the 22” wide 2.5-3.5yr old or eat their tag. Which deer breed? The wide ones? Or the narrow ones? Seems like the narrow ones get to breed for more years before being shot if hunters are only allowed to shoot the wide ones. The same for antler point restrictions. The longer a buck stays a 3pt, the more years he gets to breed.