Not necessarily... my PG 2E daughter was not homeschooled, and is a happy college freshman this year (admittedly at a school that feeds her PG'ness, and she is possibly happier than I have ever seen her!). But she attended an independent private K-12 school from K-12. We supplemented like crazy outside of school, but she did not skip (partly due to the 2E-ness). It was not ideal -- there were times where the slow pace of a classroom made her very frustrated. And her friendship circle was small (non-existent until 4th grade, then gradually growing until she had a nice core of 5-6 good friends by senior year). But it worked out in the end for her without homeschooling.