It would be my contention that the development of proper socializing abilities in a child / youth have nothing to do with the schooling approach that they adopt. Rather they have everything to do with how secure the child is.
One of the reasons that people criticize home education is that the children will not be able to socialize. It is my observation that this is not the case. What I find is that the ability to socialize and mix respectfully and civilly with others is dependent upon the security of the upbringing. So children who know the stability of their mother and father being together in marriage, who know they are loved and who are accepted for who they are in the family, are the ones who develop well in the realm of socialization.
Schooling does not affect how well a child socializes; security does.