I don't think it would ever be listed as a Plomb tool. Per AA,
Alphonse Plomb was one of the founders of that company, and when he left Plomb Tool around 1917, he started the A. Plomb Tool Company business.
California Tool continued to manufacture the A. Plomb line of tools for some years, and the tools were typically marked with both "Calif-Tool" and "A. Plomb" stamped markings. The "A. Plomb" marking was probably intended to show continuity with the older business and its customers; as far as is known, Alphonse Plomb retired after selling his business and had no further involvement with CTC.
If it were in a catalog, I think it would be a California Tool catalog.
Jim