It happens all the time.
I saw two guys drinking on a public beach.
The lifeguard told them to stop.
They didn't listen.
The police came and they were taken away.
It happens.
They were violating a written law, which is what the police arrest for. That doesn't mean they can't come back to the beach the next day. That would be just like me showing up during park closed hours without a permit. If were shooting then, they could indeed arrest me for trespassing. That doesn't mean when the park opened I couldn't come back.
If it worked that way, don't you think they would have "Banned" the OWS protestors from Thomas square (a public park)? Think about what you are saying man, you make no sense lol.
1.) a violation of a rule could get you temporarily ejected for the health and safety of the public.
2.) temporarily removing an individual for a safety reason is not the same as the "bans" that I have personally heard threatened at Kokohead.
3.) to ban someone it would require due process
4.) the judge would order the person banned - not the range officer.