Lambert & Thiery (1911, p. 280) established this genus for the species Holectypus circularis Cotteau & Gauthier, on the grounds that it has small pits over its aboral surface. These are not evident in the original diagrams, nor are they mentioned in the accompanying description. Unfortunately they first used a preoccupied name, Temnodiscus, for this taxon, only correcting the situation a few years later, when Lambert (1920) substituted the name Temnholectypus. If Lambert & Thiery were correct in their observation of pits then this is simply a less ornate species of Coptodiscus. Alternatively, as it comes from the same locality and horizon as the type species Coptodiscus nomiae, it may simply be a poorly preserved individual of this species. Type material is presumably in the Museum National d\'Histoire Naturelle, Paris, but has not been traced, hence the ambiguity over the status of this species.
Cotteau, G. H. & Gauthier, V. 1895. Mission scientifique en Perse par J. de Morgan; études géologiques des échinides fossiles. Volume 3, 1-107. E. Leroux, Paris.
Lambert, J. 1920. Echinides fossiles des environs de Santander. Annales de la Societe Linneenne de Lyon 66, p. 13.