Why does it reinforce any fear? Once issues are brought into the open and once children know that adults are aware of potentially scary situations, they usually deal better. If necessary the School can call a meeting of all parents and give advice. I am not sure that Schools 'don't have any authority' outside of the school gates because they are supposed to make sure that pupils remain safe until they reach home.
Years ago we had 'safe houses' along some routes between school and through villages - all pupils either walked to/from school or were bussed in - when I think of the possible opportunities for abuse it leaves me cold though I'm sure that most families who had a safe house sign in the window were OK.
Fear breeds fear? I have my hat pin ready ;-)