Funny thing, by coincidence, I was listening to Deep Purple live in Long Beach in 1976 (the Coverdale/Bolin/Hughes incarnation) and David introduced "Smoke..." by describing it as a song from an album we did in Montreaux... and for some reason it sort of bugged me.
But as to the bigger picture, at least as far as Setlist.fm goes, I think I'm right here. It's less about the deep fan and their intimate knowledge, as it is a more strictly formal database for those that don't have band art tattooed on their pectorals. I know for me, when I went in and put in all my concerts, there were bands in the '80's that I had not remembered I saw, or didn't even know who they were, and it was helpful to have factually specific references to the songs. A good example was the Dead; the band did a fair number of songs from both Garcia's and Weir's early to mid-70's solo records. In both cases, the material was written largely by the same writers (Garcia/Hunter and Weir/Barlow) and several of the Dead members played on the records. They were like Tom Petty solo records in that it was the Dead but Jerry/Bob got to call all the shots with no band democracy in play.
If you buy the box sets of Dead albums, or any of the compilations, those Garcia/Weir songs are most often NOT included (side bar, they were done with other record companies as a way of generating cash for other Dead endeavors). By ANY of the standards set out here, they should NOT be covers, but I value the clarity in order to become more familiar with the source material.