The rule remains the same.

The credited artist is listed - even if it's fake. Bob Bain and Lor Crane may indeed be the writers and performers, but if the artists didn't want credit or did it as a gag, that still has priority.

Usually what I do if there's a fake writing credit is to put the real writer(s) name in parenthesis after the fake name on the song page. ...After proof that one can point to is found, of course.