Oh, I'm calling it now. This one is going to be used as an attack of trans people. Throw out the archaic and manual process of updating names in federal databases, and keep it simple by making the records immutable. Then hit them with a lovely
"You MUST use your REAL NAME (MAIDEN NAME) on government forms. If the name does not match, you will be denied."
Oh, great. So it's also another regressive push towards recreating the mysognist shithole decades where married women were treated as the property of their husbands. What's next, giving married men in heterosexual relationships two votes?
In the US it is common for women to legally change their their last name to their Husband's last name when they get married.
Having eligibility to vote tied to your name matching your name at birth would make these women unable to vote.
They already stopped providing passports to trans people, even if they're willing to use their old name and gender. And I'm sure that policy will end up hurting women that changed their name after marriage as well, it anyone that changed their name for whatever reason.