The entry in The Missing Charts Book on June 17 1940 is incorrect.....The song was not "The Man Who Came Around" but "The Man Who Comes Around" and was recorded by The RAF Dance Orchestra not the smaller group, The Squadronaires
The title is indeed "The Man Who Comes Around", but I'm not so sure of the artist credit. It is often stated that the group did not officially become known as The Squadronaires until after the war and instead recorded as The RAF Dance Orchestra (I seem to remember saying this myself in a previous thread!).
However, the first recording session of the group (in May 1940) was directed by Leslie Holmes, as opposed to Jimmy Miller, who directed the recordings from Jan 1941 onwards. The Leslie Holmes sessions resulted in two records (the one you mention on Decca F-7480 and also Decca F-7572). The Gramophone reviews both of these and states the artist as "The RAF Squadronaires", while it refers to "The RAF Dance Orchestra" for reviews of all subseqeuent wartime releases. I suspect therefore that the first two records were indeed credited to "The RAF Squadronaires", and the name was only changed when Jimmy Miller took over. Unfortunately I can't find any pictures of the two records to verify this.
I seem to recall some of the biographies of the two entities on Discogs attempting to be more enlightening , I dont think they quite achieved it 78rpm links The Squadronaires all presumable post WW2? but F8568 is before F8575 pressing wise, maybe contract / Decca error or Decca late ? The Royal Air Force Dance Orchestra (note F.7720 of1941 is first listed and thus seems to appear after the performances change of name)
Note the abbreviation RAF appears never used - I think we have to remove it from our writings in the same way HMV has to always be His Master's Voice.