Thank you for providing the links, but I don't buy that. The first link cites three papers: Almasoud, S., & Fowler, S. R. (2016). The difference in the academ

Thank you for providing the links, but I don't buy that. The first link cites three papers: Almasoud, S., & Fowler, S. R. (2016). The difference in the academic achievements of homeschooled and non-homeschooled students. Home School Researcher, 32(1), 1-4. Cogan, M. F. (2010). Exploring academic outcomes of homeschooled students. Journal of College Admission, 208, 18-25. Coleman, R. E. (2014). The homeschool math gap: The data. Coalition for Responsible Home Education. Two of these are journals are devoted to home education (so personally I'm not assigning much weight to that). The Cogan reference seem legit, but is based on 70 home-schooled students admitted to one specific "medium-sized private university".