In fact when it comes to schools I am the someone else paying for it, because my children aren't in every school at all times. And I'm fine with it.
I frankly find this attitude that social benefits should be pushed back on because not everyone is partaking in the social benefit at the same time to be frankly hypocritical to communicate on the internet, a technology I certainly didn't pay the salaries of the mathematicians and engineers for.
They very clearly meant “you don’t have to pay at time of use, it’s paid by tax dollars”, and nearly everyone who reads that comment would interpret it that way. There’s no reason to pick the dumbest, most braindead interpretations of such comments just to make yourself feel smart. You could have just thought “they probably mean taxpayer-paid” and then moved on.