Heh. I mean, I totally agree with you on the principle of it, but:
Delivered on 28/06/26 at 6.30am one female, delivery number 1234567890.
I've been doing a bit of genealogy, and that's very much what those birth records are like :P
Act number 1234567890 - Birth of Suzy Smith - "On 28/06/26, John Smith came to the city hall to declare that his wife, Mary Jones, gave birth in their home at 6:30am to a girl, to whom he gave the name of Suzy."
Technically, a birth certification is indeed nothing more than an administrative process - which means it must be as exact and accurate as possible, or it's utterly worthless.