When you say someone has a right, ask what corresponding duty that right creates -- and who is expected to bear the obligation.
Trans people have the same ordinary rights as everyone else: to safety, liberty, employment, housing, political participation, and protection from unlawful discrimination. Those rights principally require other people not to harm or unjustly discriminate against them. They are the same rights as everyone else: there is a mutual agreement to uphold and fulfill the rights of everyone as a provisional concession for your righ to the same.
But if a male person is said to have a right to be recognized as a woman, what exactly are women obligated to do to fulfill that right?
Are women obliged to regard him as the same sex as them and other women? To change their language and how they refer to themselves and other women? To include men in female-only spaces, associations, statistics, services, or sports? To surrender boundaries they would otherwise have the right to maintain against men?
A man's claim that he has a right to be a woman is also a claim of being entitled to override other people's identities, language, conduct, boundaries, institutions, and rights.
So “trans rights are human rights” does not resolve the dispute. Of course transgender people have human rights. The disputed question is which additional claims follow from gender identity, against whom those claims operate, and what happens when fulfilling "trans rights" requires someone else to surrender their rights, legitimate self-interest and personal boundaries.
A right cannot be established merely by naming the desired outcome a right. A man's desire to be a woman does not establish any right, nor does it esta lish any obligation on women to accomodate that desire.
For any human rights movement to succeed you need to specify what those rights are, identify the corresponding duties of other people to fulfill those rights, identify who in society bears the duty to fulfill those rights and then justify why they are obligated to bear that obligation.
None of that has been done to date. I suspect it's because everyone knows the answers to these questions, and the answers point to a very one-sided, male supremacist, male-centered perspectice that ignores the human rights of women.
The lack of articulation of their position makes me think trans rights activists are all very aware of the asymmetry of power, the unjust burden on women, and the sexism inherent in "trans rights" -- they are all just manipulative narcissists and misogynists.