You're probably right. I saw a couple at the Marquee but for some reason thought I was at Scott's too. (Jimmy Witherspoon, Mose Allison?). It was nearly 60 years ago so I've got probably got it wrong.
Wasn't Buddy DeSylva a songwriter? And though he has executive producer credits at Paramount I don't think he was ever head of production. (That may be a mistranslation on his Wikipedia page which is in French!)
I thought they increased the power at night. For whatever reasons I could listen in Fredericton NB to Rock and Roll on NYC stations some 600 miles away while many other residents of town were listening to C&W on a station from Wheeling West Virginia.
I thought it was worse than that. However if you have time check out that episode and see if you recognize the tune.
He sounds more like Bird in the show. I thought it was a pretty good imitation of early 1950s bebop.
Musician friend of mine said that on the Sundance Now streaming channel he watches a Swedish series called "The Restaurant" and in one episode Bird (i.e an actor playing Bird) shows up and performs a number that my friend didn't recognize. So I checked it out (Season 1 episode 9). and I didn't recognize it either. (BTW Bird was in Sweden in 1950 when the episode is set but I doubt he ever played a venue as fancy as the one they show.) Anyone here subscribe to Sundance Now? (You can get a free week of it.)