How do you figure that public blockchains provide a more pseudo anonymous experience than anything we use today? I can go to a website today and register any n

How do you figure that public blockchains provide a more pseudo anonymous experience than anything we use today? I can go to a website today and register any name I want. The main thing that can break that is IP. How does a public blockchain solve the problem of routing a request to a device? How does consolidation of all user accounts to a single public ledger offer _more_ anonymity than exists today where I can have a random distinct account on any website I use?