An interesting thought and well articulated but privacy and anonymity are not the same thing.
You can have private and still know who is sending data to others and just not know what they are saying.
You can also have anonymity without privacy like a message that is not encrypted at all but you don't know who sent it and who is receiving it.
I think what we are all ultimately looking for with money that offers both privacy and anonymity. We might never truly realize it but if you're willing to take the necessary steps, you can have both private and anonymous transactions.