To argue against your point that public school wouldn't have helped requires me to share really personal experiences. It's frustrating to be forced to share them over and over with people who probably won't take the time to actually learn from them.

I picked up social skills extremely quickly when I started college, but the first two years were absolutely abysmal to such a degree that I genuinely believed for a period that I had undiagnosed autism. I ended up turning out pretty gregarious and I'm probably average to above-average at making connections and coming off as normal by now, but an enormous amount of suffering could have been avoided. The social situations I was afforded as a child didn't provide nearly enough opportunity to learn and fail.

I had a glimpse of what the alternative would have been like because I got to take drivers' ed at a public school. You might think putting your kid in cub scouts or homeschool co-op is a substitute but it really isn't. If your kid only hangs out with homeschool kids they only get to see how the weird kids act. And if they're in cub scouts they're automatically at a disadvantage because a lot of the other kids are going to already know each other from school.

A lot of people like you come into the conversation asking to hear about the experiences of grown homeschooled children, but once they say something you don't like you suddenly turn into an expert on the subject because their lived experiences aren't representative of whatever you imagine homeschooling is like.