Well, quite.
You have a piece of paper that magically ‘proves’ you to have ‘changed sex’ (a thing that we all know can’t be done, but that’s by the by) for ALL purposes - or so the Scottish Govt want to have it. You can change your birth certificate too so that it says you were born the sex you aren’t. And you don’t have to tell anyone, show anyone, in fact they’re breaking the law if they even ask you about it, let alone voice their thoughts to anyone else. We are truly through the looking-glass.
Meanwhile, a registrar accidentally wrote down a baby’s sex wrongly on their birth certificate and no, IT CANNOT BE CHANGED, apparently.