It all depends on the amount of specific measures one is using  to build his  privacy, on his knowledge and a will to spend a certain amount of his money for that.
Crypto by default is NOT private, only certain, very few coins posibly  are. BTC is not private, i never believed it. I do not need to believe, because I know exactly how does BTC works, ho blockchain works, how hashing and asymethric encryption works. And I know it from the first days i heard about them. I like these things, i learn them everyday. 
Use cash, certain private coins, special soft, mixers, decentralized exchanges, VPN, TOR, SIGNAL, WIRE, specialy designed computers and phones with proprietary operating systems, get rid of ALL credit-debit cards, all free stupid social networks like FB, Instagr, Twitter,  pinterest , etc-etc-etc, do use cash whereever you go and whatever you do, keep attention to privacy requirements  exclusively 24/7 - and you will have it. You get what you pay - old rule is still valid. Depends also  where you live.
I live in a country  where people still buy homes, yahts and luxury cars with cash. Where less than 30% of population use bank payment card at least once a week. In the country which at the same time has the fastest internet in the world. But yet is probably most far away from that stupid  "cashless society".