I just wondered if it could have been something like this, which is in fact a live performance that was filmed. The mics were strategically placed out of view. It was one of several groups that were filmed for a promotion Goodyear did.
That's Doc Severinsen on trumpet, back before he adopted his more flamboyant outfits. The guitarist leader is a guy named Mike Bryan, he was the least accomplished player but was the financial backer for the group - he owned an auto dealership and was an enthusiastic semi-pro musician.
https://www.youtube.com/watch?v=lGVHfJcE544