I would imagine that a criminal could use a system like this to do a DOS of police presence and/or send them on a wild goose chase so they can commit a crime in another area. In other words they get police to scramble to 5th and Main and they have another team to break into a place a few miles away with a non-gunshot crime.
Also, as anyone who has experience with home or business alarm systems knows false alarms get to be a "boy who cried wolf" issue and you begin to not take them as seriously as you should.