circle S rework mark

Thor, I firmly believe that Erurt only made LPO8s in 1914, before DWM took away the rights. Since Erfurt was using up many of their notched receivers on standard 9x100mm PO8s in 1917 and all original LPO8 barrels are Erfurt proofed, it would be a simple matter to change and renumber a barrel. Does the die set used on the barrel match the rest of the pistol? If so, it was done by someone who knew what he was doing.