Bwahaha, have fun with that. I'm sure you'd never believe and/or would be shocked that those Latino dudes hanging out in 90% of Home Depot parking lots every morning (and getting picked up by contractors) DO NOT actually have valid work authorizations and/or US Citizenship. Not usually Mexicanos though, despite the stereotype. Same with 50-90%+ of drywallers, framers, etc. at least in the US west/south (depending on exact metro area).
And as long as it isn't too big of a hot button topic at the moment, no one does anything about it either. There will be an occasional 'whack a mole' action when it does become a hot button, then it goes back to being ignored.
Since homeowners and businesses 'win' and low value blue collar labor 'loses', not likely to change either until Labor starts getting organized again.
In any trade, someone always gets something for something. Market effects, who gets what for how much, etc. are what I’m talking about.