When I read the title of this thread, the first thing I thought was "Dangerous"...Lol. I personally wouldn't want to be collecting big piles of bear poo, due to the fact that there would likely be a 800 lb. bear in the vicinity. I don't really believe in the use of firearms, especially against animals in their natural environment.
Scientifically, all animal poo over time will degrade into very useful nutrients. I will say this though - All poo contains pathogens, and certain species of animals' manure contain pathogens that are VERY harmful to people. Rarely are these pathogens harmful to the plants, but it might be something to take into consideration if you do decide to use it. I would research what is known about dog poo and its use as a fertilizer, seeing as dogs and bears have very similar genomes. You more than likely will get very little info searching specifically for bear poo applied as a fertilizer, probably for the reasons I stated above. I wouldn't use it unless I had no other option...If it's just a spur of the moment thought, I would just let it go if I were you.
Best of luck to you!! And be careful, lol.