I don't think there is a pat answer to this. As suggested above, define normal. One of the biggest arguments against home schooling is the lack of social interaction with other kids. And yet of those people I know who were home schooled are far more socially adept than most people who were raised "normal".
And the advantage these kids in the story have is they will have seen more, and experience more, by the time they are adults than most people ever see or experience in their entire lives. I know lots of folks who were raised "normal" and have never been farther than the outskirts of their own city. The sad part about that is that they don't have a clue what's outside their own little world.
