I used to ask that question and have been told that the US greatly benefits from having US-educated people in positions of power around the world. I don't know if this is true, but what is true that a surprising number of heads of states of countries that are considered political allies of the US have degrees from US universities. I first noticed this trend when reading about Pacific island nations.
I suppose, but the number of people leaving the country that that requires is fairly small, unless you're talking about spreading a cultural hegemony. I think it's likely just irrational.