I'm going to try to break down some of this nonsense.
It is having one's lived experience denied that is responsible for the psychological trauma.
It's not a genuine "lived experience" of being the opposite sex. Trans people need their "lady props" and "man props", otherwise no one would know they were supposed to be the opposite sex. That isn't a real or authentic "lived experience".
The only "lived experience" any of us can have is based on our biological reality.
No one is fooled by a wispy little lady beard on a woman pretending to be a man, or a dress and wig on a man pretending to be a woman. Some people will go along with the pretence to be "kind" or polite, but no one really believes that these people have changed sex.
A real woman is still a real woman without "lady props" like lipstick and a wig. A real man is still obviously a real man without a beard.
Everytime the wrong pronoun is used, everytime a gender designation appears on an identity document that conflicts with an individuals innate experience of themself
This is about their denial of reality about themselves. The "wrong" pronoun is the right pronoun. It's their delusion that is causing the conflict.
It's unfortunate that it causes them distress, but it's not the responsibility of other people to indulge the delusion that someone is the opposite sex because they put on their lady or man props and say they are.
If the biological sex of an individual cannot be changed then the results of using the same test to determine the sex of the individual at birth would remain unchanged no matter at what point the criteria was applied during an individual's life.
This is the kind of nonsense that feeds into the claim a lot of trans activists make that you can't tell a person's sex without looking in their pants.
At birth, whether a person has a penis or not is a (almost, excepting very rare abnormalities) foolproof indication of whether the child is male or female. However, it is not the only outward indication and as the child grows older it very soon becomes obvious whether it's a girl or boy, without any need for nappy or pant inspection.
Obviously things can happen that lead to a boy or man losing his penis. For example he might have an accident, treatment for cancer, or he might voluntarily have it removed, because he thinks he's a woman. The reason for the loss of his penis is entirely irrelevant. He is still a man and will be for the rest of his life.
Likewise, a woman who has a mastectomy, hysterectomy or oophrectomy, for any reason remains a woman.
A woman might have an appendage between her legs formed from tissue from her arm or leg to look like a penis, but she is still a woman.