If a bow is backed, it's a backed bow. Because of the generalness of the term-selfbow, however, I think it's still appropriate to call bows backed with rawhide, snakeskin, linen, etc. a self bow. The main point people are trying to get across with the word 'self' is that it's not a laminated bow.
The bottom line is, there is no consensus on these kinds of things so we need to add clarification when we describe our bows.
J. D. Duff