when a doctor records “male” or “female” on a birth certificate, they are recording an infant’s biological sex that has been assessed by an inspection of their genitals and occasionally corroborated with chromosomal evidence.

Just to clarify: doctors don't record newborns' sex on birth certificates. Coz birth certificates are issued by governments. State governments in the US, national governments in countries like the UK.

Doctors - or other designated health care officials - provide information regarding births to state or national government birth registries, and they certify that the info they are providing is true. However, often mothers - sometimes fathers - have to fill out various forms and sign official documents saying the info being submitted to the government birth registry is true as well. In some jurisdictions, it's the parent(s)' certification that the info is true that holds the most weight.

Another salient point: in births that occur with medical care, it's very rare that observing and recording a newborn's sex is left up to a lone medical professional, such as the ob-gyn or midwife who attended and assisted the birth. It's long been customary for newborns to be checked out by pediatricians and neonatal nurses soon after birth; and in births that occur in medical facilities, there tend to be a ton of nursing staff involved. Also, the parents and whomever else attends a birth all see the newborn naked and so they observe the child's sex too.

Moreover, in the majority of births today and in a large number for many decades now, the sex of newborns has already been ascertained definitively by sex chromosome testing in utero (which can be done as early as 9 weeks by the cheap, easy, noninvasive NIPT) and routinely observed in the imaging/sonograms that long have been customary at several points during pregnancy.

The whole idea that newborn sex is observed, decided and recorded for all time solely by a single authoritarian doctor basically operating a sex sorting hat based on nothing but his or her personal whim is totally inaccurate.

What's more, there is often a delay of hours or days between a birth and the time the birth is officially registered. To get a BC, a child has to be given a name first - but this often doesn't happen right after birth. Lots of parents take several days to figure out what to name their newborns.

In the US state where I gave birth, births now have to be registered within five days - but it was 12 days when I gave birth. In England, Wales, and Northern Ireland, the rule is much more lenient - births there have to be registered within 42 days, and this duty is incumbent upon the parent(s).

People who spout this nonsense about sex being assigned unilaterally and willy-nilly at birth by a single authoritarian doctor and about doctors supposedly filling out & handing out birth certificates are just revealing how little they know about pregnancy, childbirth, the steps and procedures involved in registering births and the fact that it's governments that issue BCs.