For yet another time, I'd encourage every CEX user to just download Bisq and see how easy it is to trade your bitcoin there. No KYC, no shitcoins, no 3%+ trade fees, no data theft. Decentralized, private and peer-to-peer, as it should.
This does completely ruin anonymity of crypto.
You didn't have any anonymity by using Binance in the first place, because of KYC.