There is the "Axminster" style of weaving carpets, and there is also the Axminster carpet company who make carpets not only of that design but also some other constructions. My parents have a 100% wool tufted construction loop pile made by Axminster.
If I've got the right end of the stick here, there is a debate between the end customer and carpet supplier as to whether there has been some deception? There is a very simple solution to this. Get the carpet fitting company to provide their supply invoice/delivery note for the carpet and see what it says.
With a felt backing, I know which side my money's on!