They don’t live there. They set up corporations there to save money on taxes.
That’s called hypocritical behavior: Saying ‘loopholes’ need to be closed while using them to benefit yourself.
The reasons for incorporating in DE are legal ones. It doesn't save tax money with the possible exception of public companies. Public companies with a large number of outstanding shares have to pay a fee based on those shares. DE has the lowest cost. If you are going to attack on an issue against the Clinton's this isn't it.