Don't confuse spending time with peers for possessing social skills!
Again, social skills involve respect for others and God - being kind, manners, truthfulness, obedience, joyfulness, respect for parents and elders. These are character traits that we are told as parents to teach to our children 24/7, so that when they become adults, they will be ready to live socially in in the world, but not be of it.
Ephesians 4:32, 6:1, Colosians, 3:9&20 Leviticus 19:3, I Thessalonians 5:16, Lev. 19:32, Proverbs 4:1, Deauteronomy 6:6-9
When Israel was conquering the land, they were forbidden to socialize with the enemy. They were not to mingle with them, they were not to give their children to them in marriage. The reason for that was to keep them pure from the ungodly philosophy and religions that came with them.
The same principle is applied to the church in the New Testament. We are to come out from among them and be separate. We are to have no fellowship with the unfruitful works of darkness. We are not to sit in the seat of the scornful or take counsel from the ungodly.
"Socializing" will teach your child, but what kind of society do you want you child to be socialized in? If we abdicate our responsiblities as parents and give it over to a school, you can be sure your children will not learn the Biblical social skills. This is just as true with Christian schools as well. Children left to themselves remain foolish and bring their parents to shame.
No, children do not learn Biblical respect and obedience from other children, or from teachers, they learn it from their parents.
