Most of your arguments are based on the notion that sex is a simple binary purely defined by gametes. It isn't - they are just one of thousands of sex characteristics. Having said that, some of you seem to prioritise gonads rather than gametes whilst others prioritise chromosomes. But that's the point, there are many sex characteristics and the particular ones we use when trying to fit a person into the artificial binary that our culture has constructed vary. You use the above, I prioritise gender identity above all of those.
DSDs are relatively uncommon differences of sexual development.
I've quoted two bits of your long post @Positrans, because the second quote gives important context to the first one.
You have said that you understand that DSDs are uncommon. This means that the vast majority of people are unambiguously male or female at birth, with matching chromosomes of XX for female and XY for male. This is not an 'artificial binary', it's the way the animal kingdom for mammals (including humans) is categorised.
Male and female. It's how we reproduce.
Yes, there are people who don't fit comfortably into 'male, XY chromosomes, full, functional male reproductive system' or 'female, XX chromosomes, full, functional female reproductive system'. But just as the existence of people born with only one leg doesn't mean that humans are not a bipedal species, these people with DSDs do not prove that humans are not a species where there are two and only two sexes.
Why would anyone prioritise 'gender identity' above all this? 'Gender identity', a term which has no definition. There is no evidence that anyone has a 'gender identity', apart from the assertions of some activists such as yourself, and it cannot be objectively observed. Why would you prioritise this meaningless term over the reality of biological sex?