Well, since Binance makes you give up all your personal info, any coins you buy there are kinda linked to you.  But thats only when the coins are still at Binance. Once you move XMR to your own Monero wallet, it gets way harder to connect those coins to you personally.  I know the blockchain experts can do some crazy tracking magic and Haveno Reto may keep logs of stuff happening internally.  But the point is, if you use Monero the way its designed and bounce your coins around a bit, it gets real tough for anyone to pin down exactly where they came from or where they are going.  At least thats how I understand it. Im no expert in how the blockchain forensics works, though.