I very much disagree with your point of view.
If you have authoritarian parents with narrow world views, being exposed to other ways of thinking/living in school will only raise your expectations and create resentment against the parents which will generally make things worse for you. And if you are a slacker (and the parents lets you slack) being in class isn't that useful. If you are smart enough you'll get by, doing nothing. But the moment you'll be required to actually put some effort the lack of work will show up and by then it will be too late. On the other hand you could get an early warning if you avoid the hard stuff being homeschooled and it's generally more effective when you figure out stuff yourself, not being spoon fed in a lecture.
And by being at home, time can at least be used for self-guided exploration that are likely to be more useful than whatever they decided to teach in the current era at school (outside of language/math/science later on it's all thinly disguised propaganda anyway). If you are focused on the same things as everyone else at the same time you are not actually building strength around your interests/characters, the only purpose is to make you fit a basic template so you can be "useful" in the labor market. The idea of public school is to make a tool out of you, before anything else.
What you are complaining about is having shitty parents, which is a problem with bad outcomes, regardless if you go to public school or not. And even if you are successful at public school, there is little chance those parents will pay for later studies, so you are mostly setting yourself up for disappointment. You might as well learn to figure out stuff on you own, because you'll need that skill more than anything else when it will be time to leave your shitty parents.
I understand the frustration that comes from the feeling of having "missed something" but I can assure you that unless you were leaving in a very good school district (aka rich, which doesn't seem the case) you really didn't miss anything. Most of the real learning is done outside of school, inside school is mostly endoctrinement.
Everything you've said regarding self-directed study is completely possible for children attending p the institutional education system. Nothing is stopping parents from supplementally teaching their children. Any effort a parent is willing to put into teaching their own children is effort that can be exerted regardless of participation in institutional education. If you choose to homeschool your children, you are discarding that floor. The only reason people choose to discard that floor is because they see that floor as actively harmful. We do not need to labor under any pretention that their evaluation of that harm is correct.
You do your children no favors teaching them they exist outside of the greater social dynamic. You teach them that the society in which they live, which they cannot escape and they must deal with for the majority of their lives without their parents, is not good enough for them. That might be fine for the rich and famous who have a completely different society they can count on to provide opportunity and support for their children, but it doesn't work for the rest of us who have to scrape a living together on our own ability to communicate our value.
You speak of indoctrination. Homeschooling is nothing but indoctrination to the parents ideology. If your ideology is so great, you shouldn't need to sequester your children away from society to convince them it is right. Children are born without prejudice. If they are receiving bad information in public school, it is trivial to teach them otherwise because children inherently trust their parents. Even children who grow up in the most abusive of homes have a hard time coming to terms with the abuse and discarding what their parents did to them. Homeschooling exploits that inherent trust to swing the indoctrination pendulum in the opposite direction.
You say that my experience was due to having abusive parents. Yes. Yes, that is absolutely correct. It takes abusive parents to choose to homeschool their children. By choosing to homeschool your children, you prove yourself an arrogant, self-centered person. Everything that follows thereafter is an extension of that.
And by being at home, time can at least be used for self-guided exploration that are likely to be more useful than whatever they decided to teach in the current era at school (outside of language/math/science later on it's all thinly disguised propaganda anyway). If you are focused on the same things as everyone else at the same time you are not actually building strength around your interests/characters, the only purpose is to make you fit a basic template so you can be "useful" in the labor market. The idea of public school is to make a tool out of you, before anything else.
What you are complaining about is having shitty parents, which is a problem with bad outcomes, regardless if you go to public school or not. And even if you are successful at public school, there is little chance those parents will pay for later studies, so you are mostly setting yourself up for disappointment. You might as well learn to figure out stuff on you own, because you'll need that skill more than anything else when it will be time to leave your shitty parents.
I understand the frustration that comes from the feeling of having "missed something" but I can assure you that unless you were leaving in a very good school district (aka rich, which doesn't seem the case) you really didn't miss anything. Most of the real learning is done outside of school, inside school is mostly endoctrinement.