We did. It is difficult to make general comparisons based on my own kids. I am quite biased in this regard. But based on a couple of homeschool groups we have

We did. It is difficult to make general comparisons based on my own kids. I am quite biased in this regard. But based on a couple of homeschool groups we have had, it would seem that the kids are much better at constructive engagement in conflict. They need far less time in academic study, with better ability to use the skills that they learn. Now that they are older, they are often crushed by the homework load. They get good marks in their academic work, but enjoy it far less. Like, a lot less. Now, about homeschool groups: we have experience with remote, rural Rocky Mountains (western United States) and urban Florida. Out West, homeschool seems to be mostly "Save Our Kids from Bureaucratic Madness" with the occasional "Save Our Kids from a Godless, Earth-is-Round Cosmology" family. In Florida, it was all about Jesus. Both populations had more "Vaccines Cause Brain Damage" than I would like. They are in public school now, a hedge against our gamble on educating the kids ourselves. They have had fantastic music education, we could not have done that without help. Older kids socialize across age groups and grades more, so that's ok. It's still hard. Kids are hard. Good luck.