By design I suspect. The number I've heard but haven't verify is that public shools on average receive about 8% of their funds from the feral gummint. That's not much, but apparently enough to make the locals toe the line. To the detriment of schooling generally, I submit.
I daresay I went to schools that didn't receive a dime of feral monies. This was of course a long time ago. Regardless, the federal leviathian has been usurping state and local constitutionally guaranteed authority almost since the beginning. One of the ways to pull that off is by confiscating taxes from our paychecks and spreading it around to agreeable parties. Those that would fill our future generations' heads with mush never sleep.
Wealthy school districts see little if any federal funds. Any school district that wants is free to go it alone.
It's not a great argument to go hat in hand to DC and then complain when the money comes with strings attached.