Meanings of truly public in English

She also said the board "must be committed to a truly public health system".

Are they meant to be truly public places or shopping malls and major office developments by stealth?

Even if a Facebook wall is active, be sure the news is truly public knowledge before posting congratulations.

The counter-revolution, the counter-party, still waits for its organ and representative, in a lover and a man of truly public and universal aims.

Besides offices it also houses a concert hall, an arthouse cinema and a very popular bar, so it's a truly public building as well.

In fact, Gehrig was the first truly public face put on the ailment, hence how it came to be known as Lou Gehrig's disease.