So, apparently that song was co-written by Ian Levine, who's not only a big Doctor Who fan but also a DC fan... So I guess he snuck in that reference to "Caught in the Act"?
(Reposting the song since the link above seems to be dead, the relevant bit starts at 0:50.)
― Tuomas, Tuesday, 19 May 2020 07:08 (three years ago) link