That's a good point Billy, and reminds me of an old comedy bit by Pete Barbutti. He tells a story of a guy who is the leader of a big band who is the leader only because he owned all the equipment and a station wagon with a luggage rack. He would sit in a chair with the trumpet players and the song in the bit was Little Grass Shack. Pete just sat there and snapped his fingers and when the came to a break he played the 2 notes he could play. (Pete was a very good musician, by the way.)
I loved Pete Barbutti's routines. this one was what he called the 3rd Trumpet Player. The guy in the 3rd Chair being the band leader because, as you said, he owned all the stuff. He would call the song, "Ok guys, page 25 in the red book" He would sit and you watch him count along with the music to his part and it was 1 or 2 notes, maybe 3! Used to do it on the tonight show all the time. He was funny, actually still is. He does some corporate events still.