In all my years of homeschooling, the most often asked question had to be about the girls' socialization.
I never really understood this as unless you kept your kid under a rock, how could they not be getting socialized. But I of course always took care in answering the question.
My girls were always busy. We had a support group, classes, Sunday school, groups we belonged to, sports, clubs. You get the idea.
I felt homeschooling offered a very balanced approach to socialization as they were often with kids and people of all ages, economic status, from other areas and not always the same kids every day. We worked with older folks doing volunteer work and also just felt comfortable spending good old days at home together. They never seemed to develop a restlessness to be on the go which is a good thing.
There are many different ways to keep kids busy and developing social skills. No one way is necessarily better than another. My kids all seemed very independent and not clingy. This is just my experience. Whether this had anything to do with the way we did things, I am not sure, but the results were good. Good old play and wearing a kid out so they don't even want to finish their donut is always a good thing.