Homeschooling isn’t only about education. It’s more of a “i can do it by myself “ worldview.
You obviously DON'T KNOW homeschooling then. MOST homeschoolers are very involved with other homeschoolers. They form little groups or co-ops. They set up field trips together, share resources, tutor each others kids. If there is a parent who excels at a certain subject, oft times that parent will tutor other kids not within their family. And if there are no parents with a certain skill, such as music, the "co-op" hires a music teacher to teach the group and the families share the expense of paying that teacher.
MOST homeschool families understand the importance of social interaction for young people, so they make sure that there kids are involved with extra curricular activities. Be they sporting programs, church activities, scouting or even family businesses.
I have found that my kids who were home schooled, were the most consistant in coming out. Their parents were the most engaged in what was going on. And probably because of the co-op mindset, the most eager to offer assistance.
Homeschoolers do have a tendency to have a very self determined and self sufficient attitude, but it is not a self oriented or a self only mind set. Quite the opposite. Homeschoolers realize that they don't have the same "resources" as public or private schoolers, so they are more engaged with others, to make sure that their kids are up to speed, not just educationally, but socially and emotionally.
From my experience, homeschool parents are MORE AWARE of what's going on in their child's life than most public school parents. They're not assuming their child is learning this or that. They're not assuming all is good and normal, because they'd get a call if it wasn't. There is nobody to call them, because the parent is the one involved and responsible, not a teacher (of 30 kids at a time).