My sister Homeschooled for 6 years because of her child's health issues using on-line classes. Other dance moms homeschool and their kids get plenty of social time with competitive dancing. Most homeschoolers I know are involved in extra-curricular activities, arts, sports, etc. They can be more involved even because they can work their school schedule around these activities. At the high school level, some take community college classes earning high school & college credit at the same time. That is the modern homeschooler.
My children are home schooled and they socialize wonderfully. My 21 year old, in 11 th grade, received a full scholarship to Gatton Academy,(gifted HS for math and science) the #1 public school in the country. When he graduated from there, he was already a second semester college junior, and received another full scholarship for the completion of college, plus an extra year. In May he received a BS and double major in biology and physics. He has been offered full scholarships and living expenses for grad school, from University of Tokyo and Dartmouth. He is currently in Tokyo doing astronomy research...A scholarship offered by the Japanese govt. My son has tons of friends and is kind to everyone. My other children will be friends with anyone. They are kind and respectful. They have been in plays and music recitals and no one has fainted. They go to a camp for children with health problems and disabilities and get along with everyone, no matter what. Two of them have received a scholarship to a gifted academic camp each summer and their teachers have been amazed with them. These children also know how to take care of themselves. They grow and can/freeze/dehydrate a huge amount of their own food. They also know how to share that. My daughter makes her own clothes and some of her brothers. They are domestic abuse survivors and know how to do without. They can find joy and fun in almost anything. They are nothing like another poster wrote. Neither are any of the other home schooled children I know.