And thus they'd fall under the legal definition of public: "Under the authority of the government or belonging and available to the people."

or

"of or relating to a government"

what do you think public mean, they have to belong to Mr. P. Ublic?

This reasoning makes sense. Roads and parks aren’t public, as they are city property. “Public” is only when something has no legal owner, like the moon and stars, or love.