More specifically, note that the states have never delegated to the feds, expressly via the Constitution, the specific power to decide policy for intrastate schools. The feds are therefore prohibited from doing what misguided, low-information FLOTUS is doing.
”From the accepted doctrine that the United States is a government of delegated powers, it follows that those not expressly granted, or reasonably to be implied from such as are conferred, are reserved to the states, or to the people. To forestall any suggestion to the contrary, the Tenth Amendment was adopted. The same proposition, otherwise stated, is that powers not granted are prohibited [emphasis added].” —United States v. Butler, 1936.
Also, as mentioned in related threads, corrupt Congress is letting the USDA get away with stealing legislative branch powers, presumably so the USDA can do Congress’s dirty work for it. This is probably so that corrupt lawmakers can keep their voting records clean to fool low-information patriots into reelecting them.
Remember in November !
Patriots need to support Trump / Pence by also electing a new, state sovereignty-respecting Congress that will work within its constitutional Article I, Section 8-limited powers to not only support Trump’s vision for making America great again for everybody, but will also put a stop to unconstitutonal federal interference in state affairs as evidenced by FLOTUS’s unconstitutional food policy for schools.
Note that such a Congress will also probably be willing to fire state sovereignty-igoring activist justices.
You are correct in that the Federal Government has no Constitutional authority to dictate policy to schools.
What the Feds do have is an Uncle Scrooge sized money bin.
Here the Golden Rule applies; i.e. “he that hath the gold makes the rules”. The Feds give schools money, contingent upon them following the Federal rules. If a school does not want to follow a Federal rule, it does not have to take the federal money. Our State school systems have been more than willing to prostitute themselves to obtain all the federal dollars they can get their hands on. As a result they willingly follow the accompanying federal rules. If the citizens of a state were willing to tax themselves to pay for their school system in its entirety, they could tell the feds where to shove their money and their petty rules.