Of my closest friends when I was in high school, the one with the best social skills had been home schooling since I met him when he was 10. However, he did participate in extracurricular activities at the local public school, like a computer club in middle school and then theater in high school. The only area he was really lagging at age 18 was in math, but that reversed a few years later and now he has a STEM PhD and has been teaching at a large state school for the past decade and a half.

I'd say a lot depends on both the quality of the schooling and maybe even more depends on the person's natural inclinations. He wouldn't have had time for all the reading he did as a teenager if he weren't home schooled, but he'd probably still have been in theater and still have been very open and curious life-long learner as an adult.