It seems to me bayan most usefully refers to a type of B griff accordion made in Russia and Eastern Europe, particularly with a characteristic bass construction and sound, but by extension any B griff CBA. If used to distinguish one type of CBA from another, those are the types Id expect to be talking about.
Would you expect a CBA with the keyboard farther from the body, to reliably also be deeper? Its something Im quite aware of because I have looked for a hard case for mine, but its a full 10 inches deep and cases made for piano accordions are too shallow. I walked over to the Petosa shop, which is in my neighborhood, and when I inquired about a case of those dimensions, he knew right away what kind of accordion it would be for ... but I dont remember what he called it, probably French style CBA.