The DWM and Mauser tooling was the same. Machinery, jigs and tools were shipped from DWM Berlin to Mauser in Oberndorf. It is to be expected that changes and modifications were made, but essentially it was the same line.
As the German government owned the Erfurt tooling, it's safe to assume that the German government got the money. Hmm. An interesting gap between 1918 and 1925, there. I guess that's when the 1914 Erfurts were built <grin>