Yeah, makers could appropriate names, just like they took the designation "1911." IIRC the Colt "Pocket 9" was shared by the Detonics "Pocket 9" of the 1980's. And there are quite a few "Single Action Army" pistols out there.
Do we even want to mention the name "AR15" and all its variations?
Search "CM9" and you mostly get Kahr pistols, with speakers, music, and computer software and hardware a distant second. Some pages down the Sars' CM9 gets a mention. I don't think that is going to change as it's been used so much in reviews, listings, and number of years on the net. Kahr has been on the market since before the internet, it remains to be seen if Sarsilmaz makes it on the American market that long. One shared product designation won't likely make or break things for either.