The people discussed in this article are people are rich enough to be able to influence politicians with their own personal money. To people with that kind of wealth I don't think flight travel and hotel expenses are that big a deal. They could easily continue to live most of their life in the United States and simply call a foreign country their home for tax purposes.
You aren't very familiar with the lifestyles of the modern rich. Their social circles are other rich people, not tied to a single location. This is the kind of wealth that can check in to any hotel at a moment's notice, and maintain any number of apartments internationally.
Which brings me to another point, the rich are people too, and I doubt very many will ever care enough about their money to uproot their entire social life.