Yes that is great to see, all that footage apparently still exists, and could be put back complete into the film., to make the song follow the soundtrack version.
The short dance section on the soundtrack of 'I'm Gonna Wash That Man' plays while they are splashing around on the uncut version of the song that was cut from the film surely, a guy on youtube has restored the footage will the black and white scenes from the film of the making of South Pacific...
I read it was Richard Rodgers who was ill during the filming so wasn't on location, he never was a fan of the film of 'South Pacific' and when he saw 'I'm Gonna Wash That Man' ordered them to cut it to the bone.
It was in the book I have called the Tale of South Pacific Joe is seen in his Bomber Jacket covering his bare chest when he is met by Emile carrying flowers for Nellie before she sings 'Honey Bun', escaping from the hospital that scene must have been removed very early on.
I now have three photographic negatives of from the 'Loneliness of Evening' sequence sung by Emile which i am going to use for prints the first one shows Emile gazing into the pond and seeing Nellie's face and the other two show him at the Officers Club dance where he first meets Nellie, which...
Indeed she was one of several great women librettist/lyricists when it was only the composer who got the credit be they man or woman , Katherine Chisholm Cushing among them.
Concur absolutely it was written for David Brooks on stage in 1947. The cut numbers should ideally be reinserted back into the film, although some of them are as a bonus feature on the Blu-ray issue. that's what they should do with 'South Pacific' too.