Yes, I think a lot of people who are drawn to home education (apart from those with SEN kids who simply can’t find a school to meet their needs) are those who are drawn to the alternative side of parenting - the hippy types who pride themselves on being “crunchy”. Crunchies are suspicious of giving birth in hospitals, vaccines, mainstream medicine generally. They love cloth nappies, wearing their babies in slings, breastfeed for years and years etc.
I know of someone like this. She breastfed her kid until the age of 6 and wore them in a sling for just as long. The child has never attended school and must be about 13 now!
I don’t think Constance was one of these mothers, but like you say there’s a lot of similarities when it comes to that “off grid” mindset and not wanting to engage with authorities.