A recent on American Shooter, FWIW, showed an Ithaca 37 as used in WWII for the Pacific Theatre. Obtained hurriedly,it had a blue finish and an added heatshield and bayonet lug. Later ones were Parkerized.
In his book, "Shotguns" Elmer Keith wrote of testing myriad shotguns sent overseas for MPs, prisoner escort, sentry duty,etc. These were most of the repeaters made at the time, including A-5s, 12s, 97s, 11s, 31s, and the Savage autos and pumps.
Like other shotguns, Ithacas show up in hot zones. Obtained outside the regular logistics channels, these are often highly prized civilian weapons.