Would you post a link or two (of reputable studies) that concluded minerals were never the limiting factor in antler size on free ranging deer no matter the soil type? I've looked and didn't find any but my googling skills might be lacking.
I did find a study where they thought deer were getting sick from mineral deficiencies from spending too much time on alfalfa fields and neglecting native forage. This particular study appears to be unfinished (or terminated) but the hypothesis was that free ranging animals were neglecting diversity and becoming sick due to either infestation or mineral deficiencies. They took the study far enough to know there were no pathogens. Interesting to think that a plot could be "too good" and actually limit an animal's health by eating too high of a percentage of it.
While looking for data to support your conclusion I found this study on elk and antler anomalies. It's an old study and probably outdated but still a good read if someone was interested in effects of poor dietary mineral and protein content in native forages (due to local soil conditions).
https://www.researchgate.net/publication/19961856_Antler_anomalies_in_tule_elk
You don't try to prove a negative. The mineral supplement industry is a big one and would benefit greatly from any study showing a benefit for free ranging deer, yet all of the studies they tout are on livestock and penned deer.
The bottom line is this: There is lots of science to support our core QDM activities (letting young bucks walk, keeping herd size in balance with the habitat, providing quality food during times when it is absent, ...) We have limited resources to apply to deer management. I'll apply those limited resources where I know they will pay off. Could mineral supplements help free ranging deer? It is possible, and I'm open to it, but given the science to date, I'm doubtful.
There are lots of gimmicks marketed to deer hunters. We often decide to do things because we "think" it will help or because someone wrote a testimonial about how they used some magic mineral supplement and now they see big bucks. If you want to buy into to this, feel free. I'm not going to criticize you for it. There are plenty of examples out there where someone outside the mainstream of science touts some new wonderful approach that is counter to the science. While 98+% of the time they are just quacks, on rare occasions they turn out to be profits and eventually the science backs them up. Could this be the case with mineral supplements for free ranging deer? Possible but very unlikely.
By the way, you are also right about food sources being too attractive. A deer's digestive system changes with the seasons. They have found dead deer with bellies full of corn from supplemental feeding in the winter that died of starvation because they could not digest it.
Thanks,
Jack