This has always been the argument against having an oscar forbstunts, butbuts hard ti imaginebthat stunts could get much dangerous that they already are.

Most stunt pros want to protect themselves from death even more than their defenders. They plan these stunts extensively and train hard for them. They do their best to leave nothing to chance. Yet they still take it to the edge, often, and they’ve been doing it since the beginning of film. Its highly doubtful they could even get more dangerous that those old Buster Keaton stunts, or the car chase scene in Death Proof, or many of Tom Cruise’s stunts in the Mission Impossible franchise.

Getting killed or maimed is not likely to get you the Oscar, so I dont think its a valid reason to not have a category for Stunts.