Not everything is funded from federal or state income tax. Where I live it's a combination of local option sales tax and property tax.

So yes, digital nomads may pay taxes for schools.

Why? If your from the USA our stance is exactly the opposite.

The kids have no choice. It might happen, or even be compulsory depending on social system.

Worth asking though. Your kids might end up at the equivalent of Aveling Park.

You can send them to private schools -which you may want to do anyway if they don't speak Japanese.

I would assume the kids would go to private schools. Probably necessary since they're traveling so much that they need to follow a foreign curriculum or an international one like IB.