I home educated two neurotypical DS neither have SEN.
The school was excellent for 'socialisation' into being kicked, screamed at, watching others unable to moderate their own behaviour.....I could go on.to It was because of children who struggled and poor peer behaviour that I withdrew them.
My DC were precocious and neither lacked social skills, both were confused and worried about the behaviour they witnessed in primary school.
We registered as home educating and we had an inspection yearly. Both got brilliant reports. Now some years later Both boys talk fondly of their experiences visiting museums, going to galleries, the theatre, and cinema. They remember the books we read together and the project work they did. We did a mix of child led and curriculum utilising lots of resources. We mixed with others, they even attended lectures with me.
I ran an education business for much of the time and worked from home. When I wasn't at home I was in a school, and so I have some first hand experience of how many children are struggling with emotional dysreglation. Causes? numerous and the classroom is more about crowd control than learning.
Social skills develop from a secure base of attachment not from being thrown into chaos.