I doubt that very much. A criminal is no longer concerned with whether their prey has a gun or not, as long as they are carrying one themselves.. Using this as an excuse, or justification, for there to be no laws governing fire arms is rather hollow. Most criminals prefer there to be no one home when they burgle houses. If they go into your home with the intentions of harming you, it would make no difference whether you had a gun or not. Chances are, the burglar would have a bigger and faster gun than yours anyway.
Every criminal has their own motives and methods of crime, and most are crimes of opportunity, or planning, not pillaging and plundering.
The mayor making that statement intended to divert the criminal from there by attempting to invoke fear in him, but any accomplished criminal would not fall for that ruse.