The Doors did use bassists in the studio. Doug Lubahn and Harvey Brooks were used most. "You're Lost, Little Girl" sounds like Doug Lubahn to me but I could be wrong.
My post was of course ironic. As for Doug, he has or used to have an account on TB and has written (somewhere) on the site about the heavy rehearsal period with the three instrument-playing Doors in the run up to the recording of "Strange Days."