The analogous part that's unfair would be the illegal importation of cheaper labour from emerging economies who will flip burgers for a wage that doesn't allow

The analogous part that's unfair would be the illegal importation of cheaper labour from emerging economies who will flip burgers for a wage that doesn't allow for an acceptable standard of living (meaning that they can only afford rent if they share bedrooms with strangers and so on). The reason for increased issuances of visas is corporate lobbying too, and most American workers have very little protection in terms of rights and lobbying, so your comparison is flipped around to describe the opposite of reality.