I know some people with amazing private school education flounder because of it. They saw crazy competition early in life and it seems decided to settle. I had very little competition in my early years. Being the smartest kid in your undergrad makes you feel really good, and motivates you to do better. Where I really needed guidance is going from the sheltered world to reality (early 20s .. when I entered the workforce and subsequently made the decision to get a PhD).
What I want to try to do is teach my kid to have her own hobbies and be generally happy in life.