Some states limit hunting to shotguns only because of over shoot with rifles. Someone died a couple years ago here because a hunter used a rifle.
Target distance varies greatly with the local environment. In dense brushy forests, the target is much closer than on sparse open Montana prairies. Have you forgotten about buckshot and rifled slugs for shotguns? The last time I saw them, they were not jacketed. These are meant for deer in those dense brushy areas. And in places that are lightly- but not un-populated, the shorter range is much more appropriate, sometimes mandated.
Two areas here might need to be split. US ought to have a few % area as inviolate for other species (Y/N?), Hunting with lead-based projectiles is the best (and only?) way. Would not call that to Y/N yet. Condors are effed, in my view, now just too genetically narrow, even if lead exposure goes away. Bald-eagle blood-lead levels vary seasonally, which is not quite what standard knowledge would predict. Many other species are directly hunted, with others in collateral-damage line of fire. There is much space for additional studies of blood-lead levels. All that being done, US could again lead with data vs. old ways of doing things.