I know what you mean about certain songs are a good match for certain instuments. One of the ladies in out little music group plays piano accordion. She can play a slow Aire or Irish waltz so sweet you can smell the Honeysuckle.
I think that is why the Cajun accordion sounds so good, it evolved with the players and the music.
there is a very fine irish cd with concertina and button accordion, called "the lonely stranded band" featuring Charlie Piggot and a lady concertina player. Really fascinating. So, if you had an overdose of cajun, I can recommend this. (also very fine Irish singing too)