Notice they don’t mention anonymity, just “privacy”. I’m kind of tempted to read it as privacy from third parties but not privacy from the government.
To the point of anonymous cash transactions, I strongly suspect there are ways to acquire cash in a way that the bills which are used in a given transaction aren't necessarily traceable to the individual who made the transaction. I've heard mention of such tactics but never tried to put them into practice because I don't care enough (in most cases) to make it more than theory.