I'm not hugely interested in identity politics, so I tend to ignore it. My take has always been that people are humans and I'm not really bothered by labels.
It is TRAs who are 'bothered by labels' by insisting that TWAW and refusing to even discuss how this is possible. When you think about why this matters it crystallises the issue. If TWAW they have access to women's jails, DV hostels, hospital wards etc, as well as the much-discussed changing rooms. If they appear as women in research projects the figures are skewed, which can work against women when it comes to social policy around areas where we are disadvantaged. Remaining as 'transwomen' would allow them to live their lives as they wish, but not impact on the lives of women, but they don't want this - they want to dominate women, hence the 'No Debate strategy.
My concern is that some people see gender dysphoria as a sort of mental illness which can be cured.
Which 'some people', and what makes you think that this is the case? My own take on it is that young people go through lots of 'phases', and it makes sense to let them grow up before taking irreversible medical action. I can't speak for 'some people', but 'some people' think all sorts of unaccountable things.
Of course, some people with gender dysphoria develop mental illnesses as a result of the bullying they experience and feeling of not belonging and/or other reasons and that all needs unpicking before any medical intervention.
Agreed.
However, I truly believe that there are some people who are born in the wrong body and don't identify with the sex they're assigned at birth
This hinges on the idea that 'gender' is something that is tangible and innate. I disagree - I think that gender expectations and norms exist, but that they are societal, not biological, therefore it is not possible for the body to be wrong. It is possible, of course, for people of one sex to identify more closely with the norms usually associated with the other, but IMO most people are neither one nor the other in that regard. The majority of us enjoy participating in some 'female' norms and behaviour and some 'male ones'. Insisting that people are one or the other brings us back to not liking labels but preferring to see people as humans. Without that insistence it is not possible to be in 'the wrong body'. We are in the body we are in, and societal norms, which change over time, are what constitutes 'gender'. If we change the expectation that people conform to the depending on their sex, there will be no question of 'right' or 'wrong' bodies, and no regressive return to sex-based roles outside of reproduction.
No definitive reason has ever been found (as far as I'm aware), but there are some indications that hormones in some people don't behave as expected. There have even been rare cases where sex at birth is indeterminate because reproductive organs haven't developed properly. It really isn't true to claim that an X or Y chromosome determines sex in all cases.
I am not a geneticist, so can't explain this properly, but there are no people with indeterminate sex. There are people whose genitals are not obviously male or female, but their cells are still male or female, and these people have pleaded not to get dragged into trans politics. To suggest that someone's genitals determine their sex is to suggest that someone who has had surgery for penile cancer or vulval deformity is not the sex that they are. It is labelling again. The 'Intersex' debate is complex but fraught with potholes and it is not the case that people exist on some sort of spectrum of sex. Elegran is much better than explaining this than I am, though.