There's a big difference between hunting out west and hunting in the southeast. You don't have people waiting 5-10-15 years to draw a tag and paying hundreds or perhaps even thousands of $$ to go hunting in somebody's back.There are more good public land hunts in the southeast than people realize. I know of at least three states, one of which I live in, where anybody can buy a license and hunt deer and bear OTC. I think we need to explore promoting those opportunities along with small game everywhere as @Hunting Wife mentioned.
To the OP. New hunters are not going to just decide to go hunting in the west because they read somewhere that they could pay resident fees. Some might decide to apply in multiple states because it is cheaper for them and clog the system up even more.
Also many states make a large percentage of their revenue from the much higher non-resident fees they charge. Where are you going to make up the difference?
There are already many more non-res hunters applying for tags than are available so why would states lose out on this revenue?
You have people competing for X number of tags for a limited resource that will not increase if you increase the number of hunters thus making even more difficult to draw a tag.
You say you're a Midwest hunter so with your idea you highlight the reason I keep saying non-resident hunters should have ZERO say in game management of any state.