As you ask me for my description. I can speak best about my own experience and extrapolate from there.
I was evaluated as a child, transitioned with no roadmap or permission as a teen and had sex reassignment surgery in my 20s. Based on gender theory, I believe gender is real and manifests culturally in place of sex where (some common gender critically identified) sex-based facts don't impact social belonging or interaction. I personally don't desire to be a gender, I don't identify as a gender. But, I can feel gender when it appears in my life.
There are a lot of birth sex-driven traits that cannot change once puberty has occurred. i would think most trans people are affected by that and feel awkward and damaged by their experience. Added to this would likely include being ensnared by elements of gender-based socialisation. As you say about trees, I understand there are trans people who do not share my experience, but (subject to contexts and motivations as I am speaking about my personal belief here), I believe if a person transitions, they are just as trans as I am. I don't believe trans experience is a something anyone can gate keep.
I am a woman and as much as it throws gender critical people into straw man creating spasms, my life has been and is unquestioned and uncontested by all who know me. I socially became a woman when I reached adulthood. I know I am a woman based on my interactions with the world around me and the limitations and opportunities I've experienced. Before and during transition, I experienced what life would be like if the world had seen me as what non LGBTQ people would call 'queer.'
But that said, I would find it difficult to ungender any trans person who has moved through the world for a number of years regardless of whether or not they are seen as queer. My left-leaning beliefs would feed into my good faith assumption that people who follow a different path of transition to become a new sex and interact with the world as a new gender.
There are innumerable examples of men who suddenly and unexpectedly declare trans woman identity status. Personally, I see "trans" as a process rather than an identity. I'd evaluate the context and progression of this announcement before feeling any affinity.
The world that existed when I went through the process doesn't exist anymore. Trans wasn't a word. Gender wasn't discussed, Trans inclusion was decades away. There was just sex. Gender is real and woman is a gender all over the world.