I think it depends what sort of school options individual children have tbh.
What's been available to us was so dire, and our options got smaller and worse over time, as the sharp elbowed middle classes pushed us further and further out of catchments and anything not officially sink schools.
The Dc that we where finally backfooted out of the system over, aside from getting little education, first suffered serious batterings,some of it put on the internet to be laughed at, then broken bones in three separate incidents, was stabbed in the neck with a compass, declared gay, sexually attacked and threatened, and finally was shot at, before I stopped listening to 'yes, but they need to go to school.'
That Dc came out with their MH in a terrible state, and tattered poor education, and while they've done well, they carry a physical injury that is still causing pain all these years later, as well as hidden issues, from what was done to them.
I do understand where you're coming from, but on balance I absolutely wouldn't unless it was either an exceptional leafy state school, or private. Both out of my range. That Dc holds similar opinions but wouldn't trust even a good state school, having worked in them. They just wouldn't take the chance.
Everyone else out of the older schooled ones, just suffered standard stuff if they couldn't keep their heads down far enough, most learnt to be as invisible as possible and get through it, but one (very gentle soul) was terrorized out in their exam year with threats to set them on fire and another (severely dyslexic) was being pulled into gangs and I let them leave underage as long as they worked full time instead. None of them would want to chance their Dc's futures even though their experiences weren't generally as bad.
I ended up having a lousy time with authorities and then having to take them to court all because I was one of their failures who sent my Dc's to their schools.
Having found how to have such a different and worry free positive education and lifestyle, that allows us to mix with different levels of society, instead of being kept in our lane, I reckon it will be at least the great grandchildren's generation before we get one who might decide they want to try school education. Mainly because I think my DGC's will probably end up quite MC, while their parents mask as it, but hold fundamentally WC values. So I can see one of the grandchildren's children maybe thinking they might like to be more educationally conventional...
But currently for our family who are finally thriving, there's just no reason to want to engage with the school education system, beyond some choosing working in them as a career.