As someone who was homeschooled for most of my childhood, I would say the results of it are as much or more of a mixed bag than public schooling is. It depends largely on how much time and energy the parents pour into it, and it's very easy for them to not be doing enough even if they have intentions otherwise.
Additionally, homeschooling has a tendency to produce adults who lack real world experience and perspective due to the unavoidably sheltered nature of such arrangements. This is something that has taken me many years to overcome to become a functional person, and if I'm being honest, is still a work in progress even in my mid-30s. It's not something I'd want to saddle any potential children of my own with.
It’s not just socialization I’m talking about, though that was an issue too in my case (in college and early adult life I was awkward and socially inexperienced in a way nobody else around me was).
It’s also exposure to people from different backgrounds and walks of life, exposure to different points of view and ways of thinking, street smarts, etc… homeschooling kept me in a tiny bubble that became apparent when I started talking with people on the internet and especially when I went to college, and it would take many years to remedy the resulting utter cluelessness about the real world.
Additionally, homeschooling has a tendency to produce adults who lack real world experience and perspective due to the unavoidably sheltered nature of such arrangements. This is something that has taken me many years to overcome to become a functional person, and if I'm being honest, is still a work in progress even in my mid-30s. It's not something I'd want to saddle any potential children of my own with.