I am not too fond of the name, however it has gained widespread acceptance, not least due to one individual's efforts to publicise it.
in reply to Renaming the Schwartzian Transform
I do not credit, however, the discovery of this way of sorting records to the man with the name. I have found myself doing things this way long before I arrived at perlmonks. And I have not read any articles or books by the man with the name attributed to the transform.
However, to keep things simple, as we all must strive for, the name has been given and changing it would only mark an ego vs pragmatism battle.