For legislation to change, one would need to have evidence that children are less educations and at great safety risk being home schooled.
Given that 10% of children are harmed by a school staff (probs more because under reported) and the current amount of bullying and peer on peer assault, I’m not sure there are statistics to support that theory.
The model would need to compare abuse data, life skills data and educational data (both in a technical level and academic level).
The Nature and Scope of Educator Misconduct in K-12 - PubMed for school abuse stats
One could argue that these cases of abuse happen even when enrolled in school so it’s not about home schooled vs not for these cases (see 10 yr old Rebekah Baptiste) and additionally one could argue that oversight even within the school results in abuse so therefore isn’t helpful.
I do personally feel that all home school families should have some registration system but not sure it’s helpful. Even these extreme cases may just not register or acknowledge the children