It is known that homeschooled children perform 15-30% better on the ACT/SAT exams, and lack nothing, yea even excel in peer competence including leadership abilities and community service (see https://www.nheri.org/research-facts-on-homeschooling/). The following link shows the research to support these claims:
What a great joy for father and mother to school their children in their own home rather than loaning them to the state for 40 hours a week! Oh, how the mind would expand, how the truth would be understood, how the academic excellence would accelerate! How a desire to serve the human race could be taught!