That's just false. Nearly every state relies disproportionately on local property taxes to fund schools. Federal dollars tend to be supplemental and come in the form of food subsidies or Title grants. They absolutely do not "more than have the gap made up" unless you're in a state with an equity funding pool (like Washington).

I have heard that Baltimore school performance is the counterpoint here, but I have never dug into it myself. Do you happen to know if there is a material point there or obfuscation of some form?

Places like Baltimore often have substantially more funding than many suburban districts

Title 1 schools can get a ton of money. Smartboards in every class, school supplies fully stocked, not the usual "grim downward spiral" feel of a public school.