I actually think it just depends as the way Colorado structures their season over multiple gun seasons, along with a muzzleloader, archery, etc.. a business might get a month or more of work from a NR hunter. That could very well maintain/create jobs in areas that are not popular among the outdoor crowd. But to a place like Steamboat it probably makes little to no difference as they will be busy with tourist both R and NR regardless of the hunters.
Wyoming a bit different as say in Lusk Wyoming the deer and antelope season really only gives you about a week of good business and a second week that tapers off. Their economies are more based on the railroad, oilfield, agriculture, etc so in many cases hunters cause more problems for businesses as they struggle to keep up with waitresses, cooks, bartenders, for that week or two. Laramie you see some hunters here but between the college and others passing through the NR hunters are not a big factor for the businesses that I can tell.
For a place like Nebraska where deer season is only a week the NR hunter impact is even less, but there are situations where some sleepy towns do appreciate the business even if it is just for a week. I suspect the waterfowlers and pheasant guys may have a bigger impact due to longer seasons.
I have done plenty of hunting as a NR and I appreciate the opportunity but I certainly don't think people would end up on the street if I didn't show up. I do know of a old motel in Oshkosh NE that lost the waterfowl outfitter who booked their rooms in the fall and you could tell it hut them really badly. The guys who rent llamas might be another. So there certainly are some examples out there.
But if we are being honest the other tourist (summer, ski, snowmobile, raft, etc) are what is really supporting most of these western mountain towns where hunters go in the fall. But for little less appealing towns off the beaten path where tourist do not like to go I can see NR hunters having a bigger impact especially if the hunters are there for 4+ weeks.
And for the record I am good with NR hunters. I rarely see any of them as I barely get to hunt any more since that's my busy season.