I really don't like cash and am happy to see it basically dead in the country. I'm also very concerned about privacy, I'm that sort of HN person - never had a Facebook account, run self-hosted email for 20 years, use Signal for messaging as much as I can, etc. But I don't think cash is a good solution to privacy. I'd rather see laws and (better) cryptocurrencies as the privacy toolkit.
One common concern I see from US-centric articles is about your transaction history being sold for ad targeting, etc. That at least is illegal here. A store is not allowed to track your history of purchases or similar unless you opt in, such as via a store loyalty card. Banks are not allowed to disclose anything about your accounts except in some investigatory contexts, but definitely not for commercial purposes. So neither "the store will track my purchases because I pay by card" nor "the bank will sell my history to advertisers", which would be major issues for me, are actual concerns.