The positives you experienced are very possible for a homeschooled student as well, and this seems to be a common boogieman. Other factors seem to play a much larger factor in the things you are (rightfully!) concerned about. As long as the parents have "the will to have nice things" (to refer to Patrick McKenzie's concept), then these are very surmountable problems.

Respectfully, A grateful dad who was homeschooled and who will homeschool.

P.S. Of course I will do some things differently than my parents, but it was an amazing gift and I had an extremely vibrant and stimulating time, including with peers (and adults!) outside of my parents' network who pushed me, challenged me, thought very differently than me, etc.