CJF,
What you seem to have seem to have is a rifle chambered for the "D" form 9.3x72R. When they standardized the 9.3x72R Normalized (standardized) the dimensions were set so the new chamber would accept the "D" form and "E' form (note: the 9.3x72R Sauer and Sohn cartridge is based on an entirely different case and was not included) cartridges as well as the normalized version. The purpose of the exercise was to allow rechambering the older rifles to accept the new cartridges without being required to submit them for reproof. They were all proofed at the same pressure level, allowing this and they all were marked with the same mark (with different actual bore diameters, fitting the barrels however). Accordingly, if you choose to rechamber your rifle it will be perfectly legitimate IAW the German law for the time period. You can continue as you have been doing or you can run the cartridges into a 38-55 die (with the de-priming assembly removed, if the type that fits into a threaded bushing large enough to pass the cartridge, instead of a pin holder screwing into the top of the die.) You didn't mention handloading, but once you fire a factory cartridge after sizing with tape in a die, you can load the fired cases with normal dies instead of having to have "D" form dies made. If you decide to rechamber the rifle, don't buy a reamer without PMing me. Good luck.
Mike