We homeschooled our kid for a few months due to her marvelous classmates, teacher and director, she wrote and learnt more than 4 years worth of study in Switzerland. Unfortunately she is highly sociable and we couldn't give her the constant "stream of kids" all day long.
Accepting your premise that "public schooling is fucked" (I disagree) there's absolutely zero guarantee that homeschooling is any better for any particular child. It's a completely random chance whether your parent, or whichever potentially untrained person, is going to provide you with an education that sets you up for society, work and the wider world.
Public schools at least have defined curricula, governance structures, complaints procedures, _accountability_ in some form.
Public schools have terrible curricula, procedures, and accountability. Go look at any school in Detroit and see how effective schooling is. They have all the things you mention, and they are ABYSMAL. Truly a terrible option, every one of them. They are also VERY well funded.
Homeschooling doesnt have a guarantee of success. Public school does come with a guarantee of failure.
I disagree, because it's demonstrably false, but I don't think there's a reasonable point of debate here. I'm sorry you feel that the state has failed so badly here.
One of detroit's best schools. 58% are proficient in reading at their level. 20% (!) Are proficient in math. That is a failing grade. The other schools are not better.
Enrolling a student at a school like this is a bad idea. Perhaps "guaranteed failure" is hyperbolic, but reality is not far enough from that statement for any sort of comfort.
These are badly functioning systems that need a major overhaul.
No, I don't think these outcomes are being determined by RNGs, but rather by much more deterministic inputs related to the intentions and resources of the parents.