Our mothers can be our worst critics...I think that can be how we become our own worst...
Most of the quilts found in my grandmother's chest after her death were bound by folding over the backing and hand stitching around. What am I saying, all of her quilts were hand stitched, they didn't get a sewing machine in the house until after uncle joined CCC and sent back money especially for the purpose of buying my mother (his sister) a sewing machine.
I didn't start seeing these little bias strips as binding until relatively recently so folding over (and tying for quilting, as my mother did) is a very old, legitimate technique.
Best wishes in your continuing journey to learn all the ways of quilting! ;-)