Every public school in the US has free school linches for those in extreme poverty. This is especially true in more poverty striken areas (like West Virginia):
For those people, the $2 a day that school lunch costs (or even 50 cents for reduced price lunch) is literally too much money, because it is. So those kids go hungry. I knew plenty of those kids that all of you are insisting don't exist (for some reason) and no, the existing welfare is just not enough, even in an extremely low cost of living area, in a state with significant state level aid.
Most working class families qualify for free or reduced price lunches. If you're at or below 130% of the poverty line your kids get free lunch. At or below 185% of the poverty line gets kids a reduced price lunch. How many children a family has is part of this calculation; the poverty line is set higher for larger families. This program spends something like 5 billion dollars a year giving lunches to tens of millions of kids. It's not a niche thing few qualify for. There are many schools where virtually every student is in the program.
Furthermore, schools will not allow kids to skip lunch. They are given lunch whether or not they have money and the matter is settled with their parents later. The few times I tried to skip lunch in school it turned into huge dramas and food was given to me even though I had chosen to not eat it.
That teacher's support might be vital to a hungry 8yo whose parents can't/won't/don't fill out the form?