Exactly, it is to my firm uneducated belief that school is 80% socializing and 20% education. Where people really learn is at home, doing homework.
Compared to homeschooling in a class of one, school is a more social environment. Learning with only those your own age, taught almost exclusively by women between 25-50 (65 at most, but rarely)--is that not an odd way to structure a human environment?
In my anecdotal experience, put a school age kid with a young toddler, or a senior over the age of 70, and an empathy switch gets turned on. This kind of socialization is undervalued.