Pop quiz: How many accordion players does it take to screw in a light bulb? Three — one to screw it in and two to say they could do it better.

In Cajun music and zydeco, the joke would be funny if it weren’t so true. Accordion players are kings, musical quarterbacks who go home with the head cheerleader.

The title of one of Aldus Roger’s classic albums proclaims “King of the French Accordion Plays His Old Hits.” T...