You are talking maybe 5 bear hunters looking for 5 bears. The bulk of the grizzly population would never know they were being hunted. The few that get seen will get shot, all the while the bulk of the population had no idea anyone is looking for them.
Selective breeding; fearless bears get culled from the population, those that are innately afraid of humans survive.
This is what I believe happened over the millenia when humans routinely carried weapons in the woods and knew how to use them, and men confronted apex predators on a point of honor.
Dog breeders used ruthless culling to minimize unwanted behaviors in their dog lines until recent times. It works.
