The empires you mention below are far different models of direct, authoritarian control. Even so, they, most notably the Brits brought an exchange of ideas, culture and trade that helped shaped the modern world. The British Empire also effectively ended the slave trade and kept the seas open for free world commerce, a role that we have taken over.
How governance will shake out, no one really knows, but one way or another it is going to be different from what we have today. It's a generational thing that's going to happen.