Did they? And is that the standard for trespassing in Orlando?
Most likely the standard everywhere.
If you ask someone to leave your private property and they don't comply, they are trespassing after having a reasonable time to do so.
Wal-Mart and I'm sure many other stores, deal with minor shop lifting in a similar manner. They take a picture of the shop lifter and inform them if they are ever seen in any W-M store they will be arrested for trespassing.
W-M is not public property, just like your yard is not public property, no one has a "right" to be there.