I have been pondering this question. The reason I ask is that it seems that the symptoms for which many trans people identify as characterising their gender dysphoria are a desire to adhere to stereotypical behaviours of the opposite gender.
For example, a male saying he always wanted to wear dresses and felt more comfortable in womens clothing. To research this question I googled, "How do I know if I am trans" and many of the articles said things like, "I preferred playing with dolls as a kid. I liked putting on my sisters clothes".
I would very much like a society where men and women are free to do as they please in terms of gender expression. But if gender is "performative" (as I believe it is), and trans people are identifying a desire to engage in these performative behaviours, why do they need to change sex? And how is there any inherent link between XX chromosome and wearing dresses?