Not really though.
Sexual reproduction exists. That's a real process. Different types of human sex organs exist, as do the processes that create them. Those are real physical structures. But sexes, the categorization of human beings into "men" and "women" is ultimately a highly subjective assignation of identity. You could argue that sexes are a way of "measuring" real physical differences, just as a meter can be used to measure the length of an object, but I don't even think that holds up because sex (certainly in the colloquial sense you are using it) is just too vague to be an effective measurement of anything.
The ability to impregnate or become pregnant are not social constructs.
Neither of those abilities relate in any way to a person's sex.
At the point sex is typically assigned, no human being can do those things.
Nothing in my viewpoint takes any issue with people who would challenge or dismiss societal gender roles, who would choose to live outside of that binary.
Oh, so your problem is simply that some people might want to take on learned social identities which are not derived purely from a subjective interpretation of the shape of their genitals.
Oh wait, sorry, I forgot the subjective interpretation of their genitals actually corresponds to the
objective reality of their ability to reproduce, because the most important social identity a person has should
clearly be based on their reproductive capacity.
The reason you aren't talking about your personal experience is because, if I recall correctly, you've lived out exactly what I'm saying. The logical contradiction exists only in a person of one sex thinking they are innately the opposite gender, which is also the only line of thinking that leads to medically transitioning children. Nothing in my viewpoint takes any issue with people who would challenge or dismiss societal gender roles, who would choose to live outside of that binary.
Did you not begin that sort of transition, one to the other within the binary, before stopping that and settling down somewhere outside the two traditional gender roles? If I do remember your situation correctly, your lived experience is in rejecting the social categories you're claiming a person can't reject. My suggestions to someone who isn't comfortable with their gender socially is ultimately to act more like you.
Firstly, are we talking about gender identity or gender roles? Those things are completely different. Frankly, for context, I also think that "gender roles" are an extremely tired and overused concept that doesn't really have a place in the majority of discussions they end up in. The concept of "gender roles" only really made sense in the context of the more ritualized or theatrical aspects of relationships between men and women, not as an explanation for all aspects of sexed behavior. Most people aren't playing these rigid, clearly defined male and female roles, they're just being themselves. Being yourself while also being a gendered being is where we start to get into the concept of identity.
Secondly, because you insist on the (incorrect) idea that sex and gender are entirely separate concepts, you miss something very obvious. Gender dysphoria isn't a feeling of alienation from your gender role , it's a feeling of alienation from your sexed body. Every human is assigned a sex at birth, and from birth is taught to view and think of themselves as "belonging" to that sex on the basis of their anatomy. That sense of belonging to a sex
is gender identity. A child with gender dysphoria has not magically developed the belief that they must secretly belong to the opposite sex on the basis of some nebulous metaphysical property, they are typically expressing an alienation from their sexed bodies in the only terms that make sense to them.
Thirdly, there's a misunderstanding here of what is involved in "rejection". I don't feel any particular sense of belonging to either sex, but that doesn't mean that I am a genderless robot. I cannot live some pure life outside of the sex/gender binary any more than you can, and neither would I particularly want to. See, once you stop obsessing over genitals and chromosomes and tying the value of your lives to reproduction for no particular reason, once you stop taking gender incredibly seriously and believing that it's actually a totally 100% very real thing called sex, it can actually be pretty fun.