Possible theory:
Rooftop Police had eyes on the red-headed guy shouting about the assassin instead of on the assassin. Then as they were hearing police on the radio saying someone was shouting about a rifle, the Rooftop Police thought the chatter was about the people they had eye on who were pointing, and thought no, false alarm, he doesn't have a rifle. Then when they heard the gunshots, they flinched because the sound wasn't coming from the spot they were looking at. Then the 2nd series of 4 shots rang out and then the assassin was located and eliminated. Thoughts?