Most schools receive very little funding from the federal government. Maybe the poorest school districts this makes up a significant part of their funding, but for most school districts it doesn't.
The table implies funding origins via taxes (local vs. state taxes, for example). I don't think any ED money is going to CA first before going to the districts. CA is also a special case where more funding is state level (due to Prop 13).
> In FY 2023, the Department of Education (ED) had $271.01 Billion distributed among its 10 sub-components.
Maybe they just burn that quarter trillion, but I suspect it ends up in the districts eventually.