It's advantageous to own one or more tax residences for the ability to manage an offshore business or multiple offshore businesses, coordinating them with the tax authorities best suited to that activity. It's not simply a matter of paying more or less tax, but rather of being able to take advantage of free trades, in the form of conferences, free trade agreements, and even different, often zero, taxes.
For the individual, however, a tax residence allows them to decide where and on what basis they are taxed, deeming one location more appropriate than another.