Homeschooling strikes me as a generally bad idea but the people who oppose it often seem weirdly pearl-clutchy about it considering that they tend to strenuously oppose pearl-clutching in other areas of life.
The problem is that home-schooling is often in practice nothing more than extension of complete parental control, even if entirely unintentional, which if you are an advocate of specific Rights of the Child, is uncomfortable. If the motivation is to essentially monitor and control a child's access to information, even if you have the best intention (say the child has serious educational or learning difficulties), that infringes upon children's rights. Children deserve to have an advocate for them, who isn't their legal parent or guardian. That has historically been provided by teachers, tutors (even home tutors) or through apprenticeships.
My understanding is that homeschooling generally can only really work well if tutors are involved, and I'd support a legal requirement to that effect.
