In fact my argument does not revolve around the curriculum, homeschooling someone with the same curriculum I use would still be worse because: parents cannot teach 7 subjects as well as 7 teachers, teachers train for years to teach a subject and have to know more than just the standards for a subject to defectively teach, you quite literally cannot get this through 2 parents.
I also have a lesser point to touch on which is the social aspect of school, students develop crucial social skills through school, when your home schooled these social skills just don't develop as well as it can at a school.