I think rock climbers would have more fatalities due to the fact that they are often hours from any sort of help (if anyone can reach them at all), they normally deck on very solid ground, most dont wear helmets, and even when all there safety gear works to 100% of its application its still very possible to get killed if you wing.
Lead climbing is a great way to get nailed, I was knocked out belaying while climbing (I was a rock,kayak and mountain instructor with the NZ army for a time) when the guy I was belaying on a multipitch climbing peeled and hit me. After that he hit me another 2 times before we managed to get up and out.
If you guys saw what kind of natural protection (like micro wires) that climbers put falls force on, youd stick to trees (I know I do)