Boy wants to be a princess, obviously we should let him have sex.

You're making a slippery slope argument

Puberty blockers should be allowed, not making a decision is still a decision

Animals don't form equilibriums on purpose, eg invasive species

Gender isn't sexuality.

Do you seriously need someone to explain to you that you can make a decision on one thing and not a decision on another.

Abstractly explain how a child can make a decision on what to eat for dinner but not who they want to have sex with.

Any guide on how to buy used laptops?

You claim to hate society yet you participate in it? Owned /s

Point 1: gender is sexual

Gender is a social construct around behavioural and social traits, sexuality is who one is sexually attracted to, I honestly cannot see how you can correlate the two beyond "this gender is usually heterosexual".

Point 2: children should not make puberty decisions unless they are mature, and to be mature they must go through puberty

If a child is mature enough to go through puberty, then they should be mature enough to make decisions about their puberty.

Why force someone to go through a puberty they hate, and only after they are finished and the changes become irreversible do you allow them to make a decision on how they wish to mature?

I understand this point of view because I used to also hold it, but I'm trying to express to you that forbidding puberty blockers causes the exact same problem, someone uninformed on a subject comes to regret their action (or inaction).

https://knowyourmeme.com/editorials/guides/what-is-the-we-should-improve-society-somewhat-comic-the-popular-panel-explained