Our children are counting on us to provide two things: consistency and structure. Children need parents who say what they mean, mean what they say, and do what they say they are going to do.
Given the choice, children who don't want for anything will not save... We have an obligation as parents to give our children what they need. What they want we can give them as a special gift, or they can save their money for it.
What is important for kids to learn is that no matter how much money they have, earn, win, or inherit, they need to know how to spend it, how to save it, and how to give it to others in need. This is what handling money is about, and this is why we give kids an allowance.