According to Barbara Brackman, reknown quilt historian, bias binding was rarely, if ever, seen on quilts prior to the scalloped-edge quilts of the 1920-1930s.
I prefer the look, feel, handling, and strength of double fold (aka French fold) binding with mitered, hand-turned, handsewn corners.
But, as you can see, it's a purely personal preference.
Jan in VA (quilting nearly 30 years.)