This is a problem and a central point of failure too. Binance was hacked in the past, isn't it?
Even more, with so nice bunch of buzz words - private key, cryptography, blockchain, decentralized (identifier) - one will think it's as secure and decentralized as bitcoin, and it's not. It's centralized.
And I also don't think that only the user can access that identity; I think that Binance and that user can access the identity. And maybe the hackers too. And maybe also those buying this info from Binance...
So for now I'd be very wary about all this. It looks to me as a nicely wrapped... trap.