So I just went onto Peacock and called up SNL, and the episode (2/9/1985) where Bryan Adams played the clam in the middle of RUN TO YOU is there, but the musical performances aren't there. Just the sketch comedy.
I suspect the musical artist can keep you from showing their music on shows like SNL if they want to. But I'd be curious to know why it isn't there, in case it's a reason different than the one I am suspecting.