I don't think NR traffic would reduce the number of tags issued each year is the same for NR. Resident OTC deer tags are not limited. With growing population of residents = more resident hunters in the field.I think you're underestimating the amount of NR hunters that only hunt MT because its a general season rut hunt. Remove the rut and I'd assume (much like alot of opinions in this thread... assumptions) that NR pressure would reduce. If ruts removed there are other states to hunt in OCT that provide the same if not more public land and some may argue better genetics.
I don't know any NR hunter that hunts MT in October for mule deer with a rifle.