My local (Sacramento) CBS affiliate has played an episode of "Comics Unleashed" after British Jimmy for as long as I've lived here (last day of 2020).
This week I do note that the show is getting a national promo push during the Colbert rerun. It's a much nicer looking spot than the usual promo I've seen, and the end card says "CBS Presents" on it.
So I can now not watch 3 episodes (1 'new' and 2 repeats) after Colbert, instead of one episode after Corden.
Tonight's (Sep. 19) 'new' episode does appear to be of more recent vintage than the repeats, based on the set and Allen's appearance, but it could still have been taped a while ago from all I can tell. Which is consistent with how many other episodes I've checked on have a listed airdate of a later year than the production date.
David