"Economic migration" is a (usually derogatory) term for moving into a country to earn more money, with no desire to adapt to the culture of your new home.
I never really thought of it as a subset of immigrants who move to get rich but not adapt. Lisa Su, Satya Nadella, Sundar Pichai and Jensen Huang are also economic migrants. Just because they adapted/assimilated more than others doesn't make them _not_ economic migrants.