It is fair to assume that every transactions are logged (specially that one), but I get from 1% to 3% off all my purchases with visa, so I keep using it for now...
But they could pass a law prohibiting the covering of your face like in France. "The French ban on face covering (...) is an act of parliament passed by the Senate of France on 14 September 2010, resulting in the ban on the wearing of face-covering headgear, including masks, helmets, balaclava, niqābs and other veils covering the face in public places, except under specified circumstances.