Illegals that have actual payroll jobs largely over claim on their dependents to the effect that they don’t really have to much of a federal or state tax. The only thing they can’t weasel out of is what everyone calls Payroll taxes (SS and Medicare). Many of these people don’t even file, unless it is a case where they feel comfortable enough (safe) that they can claim EITC.
There is nothing illegal about claiming withholding on dependents to the extent that your paycheck is maximized. You just have to be good at math and make sure what you owe doesn’t incur a penalty. They’ll whine at you but last time I checked it wasn’t against the rules.
I always felt the paperwork was redundant. They know how much you make and how much they take. If white folks started claiming more dependents they would not allow it. We have to pay for all our transgressions in making this a better world.