I posted the Reiner/Halpert text in 2021.

I can't transcribe Reiner's tune, but it's hardly more than a chant.

According to the Toronto "Star Weekly" in 1971: “ ‘A Guy’s a Guy’…Brand says… [is] an adaptation of a Canadian Navy song called ‘A Gob is a Slob.’” I suspect Brand said "navy" and the reporter assumed "Canadian" from the context.

Decades after WW2, Red Cross worker Betty Jane Olewiler (1915-1905) recalled in "A Woman in a Man's War" (2003) a moment when:

"A boy named Ernie stood on one of the long tables singing a song with a vehement expression, gesturing humorously with a long black cigar. The song, whose every verse ended with 'like a good girl should,' was later cleaned up a bit for the 'Hit Parade,' but even then it could only be considered slightly risqué."