This gun being made in 1922 predates the NFA of 1934 which defined what an SBR (short barrelled rifle) was. IMHO, there is a better than even chance that if an opinion letter was requested from ATF "in the correct manner" it would result in a statement from them that it was legal. The REASON that all the noted Lugers are exempt as a group whether the numbers match is likely BECAUSE of their period of manufacture. Can't speak to how that would apply to Broomhandles and Hi-Power's, just MHO. I'm not sure if that bit about repro stocks, do I recall correctly that those for Hi-Powers have to be of period manufacture? Fortunately the Chinese have taken care of that for us....;D
And of course if the gun is in Canada, this is a moot point.