There is no one-size-fits-all answer to this question, as the specific financial advice that wealthy families should give to their children will depend on a variety of factors, including their individual circumstances, values, and goals.
The first two things that children from wealthy families need to know about are inflation and taxes. They need to be aware of how inflation erodes the value of money over time. Even if they may inherit a lot of money, that money might not be as valuable as it was in a decade or two. This is why they need to learn how to invest and protect their capital.
Wealthy children also need to know that death and taxes are both inevitable. They need to learn about how to save taxes and optimize their finances for higher tax savings (legally, of course), so that they do not end up paying more than is required.
Finally, children from wealthy families can develop a healthy money mindset which can take them a long way in managing finances optimally.
Mutual Fund investments are subject to market risks, read all scheme related documents carefully