It is without any doubt genuine. The original looms these belts were woven on do not exist anymore. This is critical, because unlike typical loop cartridge belts, Mills belts have integrally-woven loops, by which I mean the yarns of the main weaving of the belt run out to form the loop and back into the belt. The loops are not stitched on in a separate operation like with traditional cartridge belts.
There should be a number stamped on the inside of the belt. If you can tell me what that number is, I can tell you what cartridge that belt was made for, because Mills belts were made with loops sized for specific cartridges. They weren't universal fit loops.