My add to this thread is the fact that an act I saw in 2006 at the performing arts center here did it as part of their retro tribute to 40's music.

Five By Design has the Hut Sut song on a current cd release. Hearing their version of it in good quality audio by a top notch arranger and
vocal ensemble sent me on this mission to find out more about the song.

I was a volunteer at the theater where Five Be Design played and was shocked and rocked by how good this number was performed.

I highly recommend seeking out their cd which can be found by a name search to order direct.