It's an interesting point as to whether it matters to record parental sex at all on a child's birth certificate (e.g. parent 1/parent 2) - presumably some genetic diseases and patterns have links to the matrilineal or patrilineal lines so it could be relevant to know in the interest of research/screening etc. Like it's relevant to know if your mother had BRCA related breast cancer because it means you have a high chance yourself. That sort of stuff requires more than the info on a birth certificate though.
Generally, i can't understand the aversion to calling someone what they are...if you are using your female reproductive organs to birth a child you are that child's mother irrespective of how you present socially. I also don't understand how the dysphoria doesn't extend to birthing a child! Sounds like Freddie is a pretty confused person and glad the court made this decision.