gender is not determined by feelings of identity, it is determined by whether the person has XX of XY chromosomes.
I'm going to ignore the rest of this because hee
Have you been karyotyped, Jacob? Do you know for a fact that you have XY chromosomes and not, say, XX with a crossed-over SRY gene?
The number of people which have unusual chromosome configurations compared to their phenotype is probably comparable to or greater than the number of people who are trans (exact numbers are hard to tell because it's not like we systematically test people's chromosomes). In this fantasy society where gender is defined and indeed mandated based on chromosomes, you'd have just as many people or more in gender roles that don't match their appearance, but they'd be more miserable about it than trans people since we get to choose.
Yes I am aware of the people born with XXY chromosomes and have to choose their gender because of that. I have not been karyotyped but I assume that my chromosome configurations are normal because I don’t seem to have any feminine physical traits. And have you been karyotyped?
Trans surgery on males and females changes your traits and adds estrogen hormones, but it does not change your chromosomes, so it makes you a femenine male. And your traits are never as feminine as an actual female. You still have the body shape of a male, and your voice is not as high pitched as an actual female.
I don't care about my chromosomes, I'm the one who thinks we should take people at their word regarding their gender identity. But if I told you I was, would you take my word for it?
You, on the other hand, seem XX and XY are synonymous with woman and man. So, if you or any other phenotypically male person turns out to have XX chromosomes, would you say you, or they, have to dress in skirts and use she pronouns and have sex exclusively with XY men?
If you say no, then I'm glad you acknowledge that 'chromosomes' and 'gender' are not the same thing at all.
If you say yes, then you better run and get tested, what if you're a woman and didn't know it?
edit: also, you have no idea of what transition involves or can accomplish, which is of course entirely unsurprising