The name is tied to the verification. When you change your name a human at Twitter needs to confirm the change is legit and not an impersonation.

This is happening because Elon Musk is abusing his rudimentary Twitter Blue verification process for profit and forcing false endorsement of a service to people who want nothing to do with it. So as a result, the implementation of it... and the intent of it... don't quite match.

Frankly I hope he gets a massive lawsuit for this.