Who cares? You have the option to completely anonymize your transactions with BTC, this option does not exist with credit cards, in fact you have no idea who is doing what with your data. If privacy is your concern, BTC is the superior option.
You'll notice users of the silk road who were risking life in prison used BTC, not credit cards, as their form of payment. If it truly was trivial to link a wallet to your IRL identity every user of the site would have been charged with multiple felonies, and yet that never happened.
https://www.aclu.org/blog/privacy-technology/consumer-privac...