Yes, but these things aren't cash. And technically there are ways you can use cash anonymously by at least one party involved (Drop-offs, donation boxes, mail with no/fake return address, P.O. Boxes, etc)

I get your point though. Usually it's not used that way. But my point is it is possible to be anonymous while also being private. There is no law of physics that makes them mutually exclusive. Agree to disagree I guess.