Gametes are binary.
It's just that by the time you are looking at the level of sex there are so many ways for things to get a bit mixed up that it is no longer binary. It's like you can combine 32 binary bits to make a single precision floating point value. Nobody will claim the floating point value is binary.
Sexual characteristics are not necessarily binary, but sex is functionally binary in mammals and disorders of sexual development do not change that.
However, as I've said before, the intersex gambit is a furphy. The trans activist movement is not an intersex awareness movement. The trans activist movement's religious chant is "trans women are women", not "some people have disorders of sexual development and therefore some people who were identified male at birth might be closer to biologically female than you think".
No. The trans movement does not make the claim that males who produce sperm, have male-typical gonads, are XY, and have normal amounts of testosterone in their system do not get to be trans women. Nor does the trans movement even want males to have to take any measures whatsoever in order for trans-identified males to be treated socially and legally as women.
Sex in mammals is binary. Gender can be anything at all, because gender identity is a thought in a person's head. I have never inquired about somebody's 'gender' because I don't give a shit and I have no obligation to honour somebody's "gender", whatever that would mean.
I can see whether you are male or female. Volunteering your "gender identity" is like telling me you are a Pisces.
The trans movement is about the idea that perceived gender is separate from physical gender. There seems to be a mental gender that normally but not always matches the physical gender--we saw that before the trans movement showed up. (Learned the hard way by trying to surgically correct intersex babies and sometimes getting the resulting gender different than the mental gender. The trans movement is about recognizing that nature sometimes gets it wrong, not just the surgeons.)
The trans movement is not about any such thing. There's no "physical gender". There is biological sex. Some people have a thought in their head--their "gender identity"--which makes them uncomfortable with the reality of their biological sex. Other people are not uncomfortable with their biological sex but demand validation as 'non-binary', as if they had no biological sex at all. This thought does not remove the reality of their biological sex, nor does putting on the costume of the other sex make those people the other sex, or sexless.
Lil Nas X was called transphobic because he said being gay wasn't an act, he just liked dick. The trans movement is hellbent on erasing same-sex attraction as a reality and labelling those people who are attracted to a sex--and the genitals that that implies--as 'genital fetishists'.
There has to be a 'peak trans' moment for some of the people on this board. That moment when somebody who has been oblivious to the authoritarian religion that is gender ideology realises 'oh, actually yeah, they're destroying languages and lives'. So far, there has been no outrage, apparently, outrageous enough.
When men can masquerade as women and compete in women's sports, when men can proclaim themselves to be women and be housed in women's prisons, when faggots get called transphobic and 'genital fetishists' because they acknowledge the reality that they are sexually attracted to adult human males and only adult human males, when people can and are punished by the State for failing to validate the delusions of trans-identified people, when children as young as three are identified as 'trans' (by their parents, naturally) and nine year olds can be put on puberty blockers and made sterile for life, if none of this is enough to get some people over the 'peak trans' line, then I don't fucking know what to say.