Exactly, this says they were kicked out, not that they still came back later. Those are two completely different situations.

you know what, I had assumed that naturally the ban had already occurred and that this was not the initial trespass notice that the cops responded to

if they called the cops and issued the trespass at the same time, that's weird. if they issued the trespass and then they refused to leave, well yeah duh call the cops that's what they're for