Thank god homeschooling is rare here. But here even the public schools compete with each other to be better than other, so some public schools could already be considered private schools in some ways. And oh boy, from what I've heard about those, they try to create robots out of students, taking away all their freedoms about choosing which exams to do in order to make students get best results so the school can boast with good grades. Then they also force students who do worse than others out of school eventually, making their life a hell. Same thing with real private schools.
Good thing I go to a bit better than average public school.