Here's an oddity. Another military show but not the Camp Haan footage we've seen, dated 1943. It's only 13 seconds and Jack has a suspiciously full (and dark!) hairline. So did he sometimes wear the toupe piece for radio ... or perhaps just because he knew this bit would be filmed?
http://video.google.com/videoplay?docid=9139717478976934096
And, I wonder if more footage of this broadcast besides the tiny clip exists.