Here in Missouri, many people with private land plant alfalfa plots and use deer feeders and mineral blocks to help the deer grow big and healthy, with big racks that make for good trophies.

The thing is that even with areas where feeding like this doesn't occur like the Mark Twain National Forest, overpopulation is still an issue, so their claim that feeding causes issues is inaccurate, or at least incomplete and more nuanced. It just improves their quality of life and health until they're hunted. Technically it could increase the carrying capacity of the species, but because the population is managed, it's not really an issue.