Yes they know who you are inside their exchange. But when you spent from that exchange your utxo could potentially be tied to your identity by some other entity who will observe the chain. And it’s not about losing some sats you don’t care to lose because it’s a small amount etc. it’s tying your identity on chain. Linking utxo to your identity.
Discussion
They already know this though. They already have your identity. It's the problem with KYC sats.
I doubt many have non kyc sats apart from hardened bitcoiners
You are being paranoid for no reason about something that will never be an issue for you.
It’s not about being paranoid, in
Satoshis white paper title, p2p electronic cash , this system Satoshi's electronic cash is successful because it created the conditions for an electronic analog to physical cash (utxo). For the first time ever, data could be cash. And data is analogous to speech, and speech always wants to be free.
Why would one want to id yourself onchain forever that’s not what bitcoin is about.
It's like these people have never even skimmed thru the white paper. Wild. https://imgur.com/a/NYFHQRb