Well, flattop, as far as Yorkshire women are concerned, I really can't say. Actually, I can't speak for the Yorkshire men either. But if you check the pictures of the Llanstock event you'll see several U.K. men playing different kinds of accordions and squeezeboxes, but no women playing them.
The ability to play with yourself (in or out of a McGill) is one of the beauties of the accordion. Give it a try. See for yourself.