@LALegault I'm a moderate, i.e. I will "use a gun to build a library", but will try an explanation.

The objection is when a service is forced on you without choice, at the threat of people with guns.

Now maybe teaching children, providing protection services (including long term provisions), and management coordination of infrastructure (?) offers value to people. But if it does offer value, then they would be willing to pay for it, and so it wouldn't need provision by the state in the first place.

When the state provides it has very poor mechanisms for determining how much value, so may be over provided. Maybe we need 100 teachers, but the state provides 105, so 5 are an unnecessary waste of resources. (The reverse is also true, they can under provide.)

So, while not 100% leech, because I think most of those things are valuable to most people, so would have been provided anyway, a hardcore is going to exaggerate the scenario. As do both the left and right of politics, to emphasise their point.