Does this seem a little... schizophasic... to anyone else? Where are you getting those ternary sequences from, Soggy?
Anyways, Komissar, I think you're coming from a filthy... ideological... sociology-or-some perspective. Yuck. Ptew. Soft "sciences"
I feel you end up confusing sex with gender and sex with sexual characteristics. Sex controls sexual characterics, but sexual characteristics do not define sex. I haven't watched the Matt Walsh doc, but he seems less wrong than that video implies.
Biologically - maybe more zoologically - I've watched enough NatGeoWild to know - you can split organisms into about 4 categories:
Male - producing small gametes - sperm, pollen
Female - producing large gametes - ova
Hermaphrodite - producing both
Sexless - producing none (eg. amoeba)
Course, I'd put "sterile" into a defective male/female/hermaphrodite rather than the sexless one.
So the entirety of that which makes one male or female relates to the gonads. Ovaries for females, Testes for males, Ovotestes (or both ovaries and testes) for hermaphrodites, none for none.
This is great because you get sex with none of those dirty differing sexual characteristics getting in the way. Not even all mammals have XY chromosomes. The human Y chromosome is disappearing. Birds have ZZ(M)-ZW(for female) sex chromosomes. Fish change sex depending on how the water feels that day. Different animals have different hormonal systems. Male seahorses carry the pregnancy. Most birds lack external male genitalia (ducks don't). Anglerfish females are bigger than males.
The system works well and you can apply it to humans. Get rid of all iphone setting save for Testes, Ovotestes, Ovaries, None. And you've got it. So, border cases, people with complete androgen insensitivity who have undescended testes, but otherwise appear female are male. People with a male/female phenotype, but no defined gonads are sexless. Though I'd count them all under the umbrella term intersex which would be more a descriptor and less a sex in itself. Though maybe they don't have to *stay* sexless. Has science gone this far yet? I'm sure someone in China done it.
Human biological sex is simple. Gender is more complicated.
Also, matching chromosomes is dumb. The important bit is the SRY gene usually on the Y. Though very rarely it can be found on the X chromosome or not be found on the Y. The SRY gene formes the testes.