It would do exactly that. We run 2 separate immigration systems in the US. One very restrictive system for high paying jobs and one very permissive for low pa

It would do exactly that. We run 2 separate immigration systems in the US. One very restrictive system for high paying jobs and one very permissive for low paying jobs. The latter is technically illegal but tolerated. It can't be legal, because then there would be nothing stopping those immigrants from eventually getting the high paying jobs. This dual system protects the upper class from wage competition while allowing it for the lower classes, ensuring that the upper class benefits both from this protection and also the lowered living expenses provided by cheap labor from the lower classes. All arguments that somehow economic laws don't apply and immigration doesn't lower wages come from members of the upper class who want to preserve this system that benefits them.