Such an assumption appears to be very doubtful. After all, the super-rich need to surround themselves with bodyguards in order to protect themselves from kidnappers or deranged predators. They must worry about the vast amounts of money they can lose to taxation, the fickleness of fate, or the inevitability of inflation. Rich people demonstrate precisely the same inter-relational problems as poor people. A rich man can be just as concerned about the fidelity of his wife as a poor man, and vice versa.
Rich people have identical problems with their children as poor people.
It is obvious that, if we do not have more money than we need for preserving the necessities of life, we would not have to worry much about losing it. Alexander the Great. The story goes that, when the almighty Alexander asked Diogenes what he could do to alleviate his apparent poverty, Diogenes merely asked Alexander to step aside because he was blocking the sun. Wealthy people can only sleep in one bed at a time, put their pants on one leg at a time and they gets warts and hemorrhoids just like poor people or the people in between these two extremes. Such opulent houses, wholly beyond the basic needs and necessities of human existence, are becoming more common but one must wonder if such monster-houses enhance the happiness of their owners.