That has been getting much less common. My dad used to have "his secretary" do tasks like schedule is meetings and book travel - the secretary was a department secretary for a couple dozen engineers and was kept busy just serving those needs. Today I don't have a secretary for several hundred engineers. My computer is better at scheduling meetings than the secretary ever was. Go back 100 years and the rich would have hard far more servants than they would today because various levels of automation have replaced many jobs.
The right still have servants of various types of course. Right now "Virtual personal assistant" are too limited to replace humans. Since I cannot afford a human servant I'm hoping that changes. Time will tell.