It's got to be said that Woody didn't understand Deportees. It was a program by the US government at that time called the Braceros Program that imported Mexican labor. It was US policy. Of course we didn't know their names any more than we would have known the names of the people who worked on the WPA. The plane crash in Los Gatos was an unfortunate accident.
Naturally, all migrant workers are wage slaves like everyone else who has a job in the U.S. The "surplus" always goes to the bosses.