to me a rag quilt is not te same as QAYG (quilt as you go). Yes, when I made a rag quilt I did do it as a sandwich and when I was done, i was done. But I have never used batting in a rag quilt. To me a rag quilt has so many layers (or just some very heavy fabrics like denim) that you don't need batting.
See, just another interpretation of a rag quilt. It works for me the way I do it, but I am interested in making one that has batting squares in it also. Good use for batting scraps.
To me if it has a fringed side to it, it's a rag quilt. How it's put together is a matter of preference for the quilter.
Just my 2 cents....