I felt the same way about my birth certificate, college transcripts, military records, etc. I see them as historical documents that don't really have much of an impact on me today.
However, as Sarah was pointing out, these documents are all connected. It is wise to have as many changed as soon as possible, so that all of your records say the same thing. Here is my thinking on this.
I was stationed in Germany for five and a half years on my second tour. While there, I had a bank account, a car loan, insurance, etc. But when I returned to the States, I was told that I had no credit. All of my credit history had "fallen off" because I was living outside of the U.S. economy, even though I received government pay.
My legal name change was done on December 22, 2022, almost three years ago. In two more years, any credit history in my deadname will fall off, and only Lori Dee exists. Over time, government records get archived as well because only the most recent history is relevant to most agencies. As records get archived, they become harder to locate, can be destroyed, or go missing, etc.
So the more documents you have now pointing to Charlotte as a real person starts establishing that history. And when records like birth certificates, passports, driving licenses, and so on rely on each other for verification, it is a good thing to have a many in alignment as possible. That gives you options as to which ID you wish to present, and no eyebrows are raised due to a mismatch.
Just something to think about.