“then fighting back to somehow live another day.”
Owner’s intervened.
I’ve read where cougars and black bears you should try to fight off if they attack. A cougar will often quit as it wasn’t expecting a fight. A black bear probably won’t stop, but it won’t stop either if you just play dead, so might as well try to fight it. Black bear attacks are pretty rare though. (A freeper tells the story of his dog and him fighting a black bear, with the freeper finally on the bear’s back and stabbed it to death with a knife!)
Grizzlies you are supposed to play dead and hopefully you can survive the wounds from their first attack.