There is a difference between that and the systemic concerted efforts by wealthy countries to poach and take the most valuable, skilled, educated of the human capital from poorer countries who are in positions of weakness and far less bargaining power.
I understand that the narrative is that it's about "helping the unfortunates", but really it's not. If a country wanted to help people you wouldn't "help" mainly the ones who can give them something (they are actually helping you), leaving the many more less fortunate ones in an even worse state.