If bears and cats acted like that, they would all be extinct now. Cats have a lousy sense of smell anyway, no better than ours and they aren't scavengers so they aren't going to come running to the smell of blood. Bears could come to the smell of blood, but they are going to avoid people. Bears prefer the guts to the meat anyway, so just gut the animal and drag it a bit away if you are worried. I just read that there have been 15 people killed by black bears in all of NORTH America in the last 7 1/2 years, thats two per year, more people choke to death on their toothbrushs than that!