Home schooling is pretty unpredictable. I've seen great outcomes, and outcomes that make me cringe. I actually know a lot of homeschoolers because I chose to have a home birth, and that puts one in touch with people that do things their own way.
One delightful homeschooled girl was my midwife's daughter. Smart--social--responsible. The actual schooling took very little time, because there was no need for transportation, and all of the time consumers involved with school. She taught herself to sew (the midwife could not, and had no interest) with her extra time and self motivational skills. She made and designed everything she wore. She was wonderful to talk to, and really had a grasp on how to work with people, and like I said, very smart and educated.
On the other hand---there are those Christian conservatives that choose that route and it's a trainwreck. They are never allowed to see different worldviews, their knowledge of science is laughable, and every teaching opportunity is used to inculcate them. One in my family had a little one, who would run around and say, GOD G O D. and always get kudos for being able to spell God. We just cringed, because clearly he wasn't moving much beyond this. I was asked by a homeschooler to maybe sit in and teach some things about writing. But she wanted me to work from this text that told stories that always taught a religious lesson, and then help her children construct an essay around what they had read. I just couldn't do it. The entire focus of their schooling was centered around religion.
So I'm split on my opinion of the whole thing. I don't have the power to personally pick the people who actually get to homeschool, but am not on board with taking away the right. We just have to accept that people will raise their children as they see fit, and hope that the bright ones will reach beyond.
NC