Depends on the artist.
Usually for more mainstream artists that I tape if they are doing a cover i'll note it. As an example years ago at a show an artist dropped in a verse and chorus to another artists song. No one seemed to know what the cover was. I noted it in the text file. So many folks who commented on the download said 'I knew that cover song but couldn't say exactly what it was'. Or sometimes if I feel it is important to note I will. In the end I think it depends on the artist and what you feel like the audience cares about or not.
Lover you should've come over? I loved that interp