Ok fine, but I hope it's now a little clearer that it's weird to refer to actually private, corporate space as "public space".

It's I'd venture a symptom of a culture dominated by capitalism and corporatism, such that the former two things become so dominate that their presence is invisible. Malls and Facebook pages become "public spaces" in the minds of citizens even though they are spaces, public regulation notwithstanding, controlled by the rich and existing in the main to profit them.