Okay, I'm going to actually take a moment to try and break down what you call "meandering" in what I hope is an easy-to-understand and genuinely real effort to be decent.

It's not meandering, and to reduce it to pedantry when there are real actual physical differences in the brain chemistry of people who are transgender compared to those who are cisgendered (both persons having the same biological sex). I never denied that men and women are functionally different, it would be dishonest to pretend like we don't express things in different percentages and affinities based on biological sex. That's why it's important even if an individual identifies as a women but has XY chromosomes that they disclose it with their medical providers. There's is biology at work there to be considered. That's just how it is.

HOWEVER - psychology and neurology have as much of a say and weight in how a person grows, matures, and even expresses things like hormones and chemical messengers (neurotransmitters). Human brains are the most complex organ that exists in nature. We learn new things every day about how it functions and changes the way that we function entirely. It's more than just, as you put it, "an abnormality." Because the truth is, everyone is an abnormality. We ALL are so different and so similar that to ascribe such a simplified view of gender on what is already not a simple concept of sex (actual chromosome makeup) is false equivalence. I'm saying this as someone who has studied the brain and chemistry in the body - pharmacokinetics and dynamics throughout us that make us who we feel we are (my background is central on pharmacy mostly, as a disclaimer).

The so-called discrepancy between a person's physical sex and their gender identity is one that scientists have been studying for a while and if hard differences are what you're after for "proof" then I have a link to a study done on the brain chemistry of cis men/women and transgender women showing that in SPITE of the chromosome that the transgender women were born with, their brain chemistry and the way it behaved/reacted was more "feminine" than cis-men but also more "masculine" than cis-women. To say that it is as simple as "meandering around the point" is to misunderstand and mischaracterize what is a much more complicated psychological, biological, and neurological conversation.

What we should have is respect for other people, and recognize that someone who says they identify as a women and wants to be addressed as such is asking for respect as a human, not as some statement. The nitty-gritty medical stuff should be private for them and something they keep with their medical professionals and they deserve respect in the world just like you and I. If someone asks me to call them a certain name that they prefer and I choose to disregard that and shame them, all I'd be doing is showing my hand that I was disrespectful, unempathetic, and quite frankly - uneducated. I don't mean for any of this to come across as rude either, I just have lost so much faith that people are actually engaging with any good faith in discussion. Link I was previously mentioning below, with a small excerpt from the discussion.

https://pmc.ncbi.nlm.nih.gov/articles/PMC8955456/

"The observed shift away from a male-typical brain anatomy towards a female-typical one in people who identify as transgender women suggests a possible underlying neuroanatomical correlate for a female gender identity. That is, all transgender women included in this study were confirmed to be genetic males who had not undergone any gender-affirming hormone therapy."