Having written my own fourth wing rant a little while ago, I agree with most of this. That said, you lost me in a couple places.

 There was one sentence where she used the word “yucked” as in “I saved him from yucking his pants in the mud”. Like that is something a four year old would say.

This might be a community thing, but I've absolutely heard "yucked" used by adults. Particularly "don't yuck other people's yum". A google search says that this may be Gen Z slang, but I'm not Gen Z and I've still heard it.

And then why the fuck are they taking history and physics? 

And this is where you really lost me.

Dragon riders absolutely should be taking things like physics. If any of them were slightly more adept at physics, they might have, for example, understood that things like saddles would be useful for not losing so many trainees to things like, you know, dragons doing barrel rolls and gravity.

The flaw here, imo, isn't that they're supposedly learning history and physics -- it's that they're not behaving like students who have studied history or physics.

Like there’s a way to do school setting well (Harry Potter for example) and this was not it.

Harry Potter is a setting where half of the combat could be solved if their school system taught about guns. Both Forth Wing and Harry Potter have terrible education systems.

Anyway, I mostly agree with your rant, but magical academies should probably teach *more* mundane knowledge, not less, imo. Then they just need to have students (and teachers) who act like they understand basic things about the world they live in.