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Private Snafu was a character in WWII training films. Here is Spies:
Script by Theodor “Dr. Seuss” Geisel, voice characterizations by Mel Blanc, music by Carl Stalling, directed by Chuck Jones, racism, sexism, and xenophobia by American Popular Culture c. 1943.
This is one of the reasons that I find it difficult to believe that the translator/clerk character in Saving Private Ryan didn’t know the term FUBAR. Private Fubar was a character in some of the Private Snafu cartoons, and everyone in the Army would have seen all of them. A lot.
See also, Booby Traps (1944, directed Bob Clampett). Risque humor, silhouetted nudity, bad language, plus all the standard Warner cartoon tropes.