Respectfully, ****

Just kidding.
A lot of that makes sense. I think it varies by state, species, public vs private. I’m not a fan of areas restricted by weapon. We have it for Turkey in FL, with certain areas being archery or traditional only. I would think allowing limited tags for some to draw archery instead of firearm, with lower success rate, would provide more opportunity for those that draw firearm, but not vice versa.
What I have seen first hand in Indiana is a significant increase in quality due to restrictions. It went from average to one of, if not the top, BC producing state in the country. They used to allow 2 bucks. You could take 1 during archery and 1 during firearm and they are separate seasons. They switched to a 1 buck rule. What that did, was caused hunters to be more selective. Hunters started passing young deer, they’d normally take during archery, and would hold out for something bigger because regardless of season, once you tagged one, you were done. They also pushed the firearm season back, because it opened right around peak rut. Kids would shoot the first antlered deer they saw on opening firearm and they were running around nilly, willy. They began allowing centerfire rifles, as opposed to shotgun or straight wall only, which I think has a negative affect, but I’m for it because I prefer to use a centerfire myself. Most of the top BC producing states in the Midwest follow similar restrictions (Ohio, KY, Ill, MN, IA, WI, MO, KS).
I don’t know that I agree with antler and season restrictions not increasing number of mature animals. Sure genetics comes into play, but number one factor of antler quality is age. You said the restrictions protect the younger bucks, which is exactly what you want if you are trying to increase antler quality. Younger bucks breeding is no problem. Culling is a whole other topic. But even genetically inferior deer that gets to 5-6 is a big trophy. QDM is primarily focused on age and is pretty straightforward on the matter.