 The chief problem facing this definition of singularities is that the physical significance of generalized affine length is opaque, and thus it is unclear what the physical relevance of singularities, defined in this way, might be. It does nothing, for example, to clarify the physical status of the spacetime described by Geroch (geodesically complete but containing incomplete paths of bounded total acceleration), which it classifies as non-singular, as the curve at issue indeed has infinite generalized affine length, even though it has only a finite total proper time (to the future). The new criterion does nothing more than sweep the troubling aspects of such examples under the rug. It does not explain why we ought not to take such prima facie puzzling and troubling examples as physically pathological; it merely declares by fiat that they are not. 