“OK so these parents are on food stamps, WIC etc . “
That isn’t necessarily true. Some of these parents make plenty of money but they’re real happy to have you pick up their food bill. Who gets booted off the program? No one. The schools push these programs because they are getting money based on the number of students enrolled.
And at least here in GA all you have to do to get your chil on the program is say you can't afford to feed them - no checking done and no proof required.
Of course if you can't feed your chilluns you probably don't have any business dropping them in the first place, but that's another subject.