I have had more run in's with black bears than anything else. I have had a couple young wolves come in after my dogs at times.
I hunt, camp, and recreate a fair amount in the Idaho/Wyoming border. There are a fair amount of grizzly's killed in self defense in the eastern border with Wyoming. In my Deer hunting areas and bear hunting areas there are no Grizz, but wolves are present. When my dogs are with me wolves are the biggest threat. I have had it happen twice with one wolf, then another wolf a couple years later.
I don't honestly worry about black bears. I was charged by one in a campground. Honestly I was lucky I didn't get it. While deer hunting I carry a 45 with a 408 paper patched RCBS 11mm rifle bullet. It is pushed by 80 gr of Pyrodex P. The bullet is hardened to 8 BHN. I honestly feel safe with the rifle in my deer hunting area. But if I were deer hunting in Eastern Idaho I would be carrying that same 45. I wouldn't carry different because of a chance with a grizz.
My son always has a 50 with a 458 Paper Patched lee 500 S&W bullet hardened to 6 to 7 BHN. It is pushed by 80 gr of pyrodex P.
When I am hunting elk it doesn't matter if I am in Northern Idaho or Southern, east or west. I always have a 50 that's the law, with the load above. I have seen How that bullet performs for over 12 years. How it plows through elk. I know what that load is capable of.
My Strategy for eastern Idaho is different than the Nevada border in one way. After the elk is on the ground. MAKE SURE TO LOAD THE RIFLE!!
If you read encounters on bear attacks in Eastern Idaho they are usually in September. While most of our ML hunts are later, I still make sure I have the gun loaded. On the Nevada border I don't worry about it. A lot of the attacks are either after the kill or the hunter is cow calling and the bear finds them.
While Idaho has a big black bear killed once in a while. The average size of our black bears is 150 pounds. My friend in Connecticut has bigger bears in his subdivision in town.
Other than my normal eastern Idaho keep a gun loaded I don't change up just for the rare chance of an encounter with a grizz.