1. What parent would approve of their kid getting bullied? What are you talking about?

2. If the parents care enough to homeschool, why would they not care about bullying?

3. Socially subservient to the bully's parents? This feels like a hopelessly contrived and niche edge case that is effectively meaningless because it would be so rare

4. I'm not convinced personal problems fester moreso in a closed group (see: armed forces), and further I'm not convinced homeschooling groups are closed in the first place

All this to say I don't think your argument has any merit and is based on convenient and unlikely hypotheticals.