I think it's safe to say the illegal immigrants be worse off without those jobs. It's not like mandating they provide high-paying jobs would result in the low-p

I think it's safe to say the illegal immigrants be worse off without those jobs. It's not like mandating they provide high-paying jobs would result in the low-paying jobs eliminated being substituted one-for-one with high-paying jobs. And they're presumably paying the market clearing price for the labor. Any higher price would mean economic deadweight losses, which translates to foregone quality of life gains, as is created by any mandatory price floor.