I'm not a parent, but I did know of some homeschooled kids growing up. Honest question; where do these kids get to socialize without their parents present for long lengths of time now?
I've also known families who did go out of their way to get their kids in programs where they would make friends they could spend time with (both structured and unstructured), and in general give them comparable experiences to what you would get in a traditional school. One such group had a bunch of home-schooled kids put on theater productions every year, etc. Such families seemed to have many of the components of a standard school experience but it was organized a-la-carte by the parents and they were more involved. Those kids seemed to turn out pretty well-adjusted and extremely well educated. If you live in an area where home-schooling is common (that's probably pretty widespread at this point) it's quite easy to find support groups and resources on Facebook, etc. these days.
Hobbies with structured meetings, book clubs for continued learning, social sports are all things that are added into the mix to get good social activity. And, frankly, they’re a lot more fun than forced office/school interactions.
When I had to go back to public school, I missed homeschooling dearly, and I lost a lot of really good study habits that would have made college easier. Now that I’m working remotely, I have a lot better skill base to work from to manage the work because I was homeschooled.
We found local homeschooling groups and it turned out that the kids ended up with more socialization than when they were in traditional school. There were more field trips, PE activities, band (yes, there was a full bad of homeschooled kids) etc. -- partially because with an unparalleled student-to-teacher ratio, a day's worth of lessons can be completed in a much shorter time.
Everyone's mileage may vary, of course, but homeschooling doesn't mean condemning your kid to a shut-in, anti-social experience by any means.