AFAIK we don’t have any way to determine this before sex differentiation actually occurs. When sex differentiation occurs it happens as a response to hormones, not karyotype. It’s possible that environment could be the determining factor, as is the case with freemartins.
So no, it’s not an exaggeration nor embarrassing to say that nobody meets the order’s definition of male or female.
Your karyotype doesn’t determine what kind of gamete you produce.
See for example https://en.wikipedia.org/wiki/Androgen_insensitivity_syndrome
AFAIK we don’t have any way to determine this before sex differentiation actually occurs. When sex differentiation occurs it happens as a response to hormones, not karyotype. It’s possible that environment could be the determining factor, as is the case with freemartins.
So no, it’s not an exaggeration nor embarrassing to say that nobody meets the order’s definition of male or female.