Many of the rich men children don't grow the way they are meant to be because they see everything coming to them once they mention what they want and some time if the father notices early that this particular child will not do well because of too much pampering and the mother will claim that father is too hard on that particular child and without the mother knowing that the father want the best for the child, and most the rich men children end up growing out from the plan the father have for them once they have the opportunity to stay alone while going through high school, and once such is giving to they will doing clubbing and taking hard drugs without attending any of the licture any day because his father money, while the poor children grow well even things are hard and grap every little opportunity they have in the high school and they take lictures more serious because they know their family background and has been motivating them to be more serious in school, inclusion i advise that parents are in the best position to know in which child that is growing in the wrong direction and such child should be corrected immediately when he/she is a kids and avoid too much pampering when you know on what to do when the child did wrong and parents don't fail to apply such caution that will help your children in future when they have come to ages.
This doesn't however means that hard life would guarantee growth. In fact, if it's hard enough from the start, it might cripple you. Forcing you either grow or act out, and that growing could take all your energy all your life, so that you can't really do anything you wanted, as your energy in life goes to healing, just that you could float and stay alive.
Hard childhood, (i use this term pretty vaguely, sorry about that) while being a rich kid, might make you think you don't need to grow, as you can be thought to think that everything is fixable with enough money. So you might turn out to be insufferable and entitled.
Obviously this is all just generalization, and people will have problems, no matter if they are rich or poor. They just might be problems with different priorities and when it comes to outcome of these problems, they have different level of severity.