The more I watch them, the more I realize it:
Not that I'd want to be personally "scooped" into a theater or shot to somewhere in Asia with a giant six-shooter! The cool and elegant soundtrack music by Vincent Lopez and his band is just great... it swings, but in a kind of subdued manner.
Vincent Lopez was a veteran bandleader by this time, having made acoustical recordings for Columbia and Edison Records since about 1920. He also composed the popular standard "Nola," which was recorded by many jazz pianists and swing bands in the 30's and 40's.
Just follow the Bouncing Ball, and sing along!