Why would Bear take less risks than Survivor Man. If Survivor Man hurts himself badly he needs to deal with it by himself. If Bear hurts himself his team can go get aid for him.
I'm pretty sure the cameramen would recognize the aspect of danger that would come with filming a survival show.
In the scenario in the video, were it an actually treacherous canyon, Survivorman might take the chance because he knows how to do it. Grylles would likely take that same risk, but not with a crew who will also have to take that same risk by taking the same course. I see what you're suggesting, that Grylles has people around him if he were to get injured, but I'm thinking of the people around Grylles that he would have to consider, whereas Survivorman wouldn't have that obligation.