Well, I have done lots of bindings and I just learned the 'right' name for the method I use!! too funny! I french fold! ha ha. I use bias and straight, depending on what I know about how much use the quilt will get, and how I feel! ;0)
I too have several old quillt where the binding *is* the backing, and they have not worn well. I mean, my grandmother 'old'. Even her quilts with separate bindings have worn along that edge.