And that is of course true for everyone else too. How do you know the guy in line behind you at the bank isn't going to draw a weapon and start robbing the bank. Or maybe the mentally ill homeless guy who is muttering threats will decide to act on his delusions. Or maybe that shifty looking kid watching you is about to attack.
Is it OK to even pull out your firearm and start barking orders at the people around you? No, and anyone who did so would rightly be considered unfit to carry a firearm. Trained police officers need to be able to maintain discipline even if they are scared. We expect the members of our armed forces to do so, even in places way more dangerous than a hotel hallway. Anyone too scared to control their trigger finger in potentially dangerous situations has no business being a police officer.
And just as a hint I'll tell you that the last thing you see is the kid running over the cop (I know because I've done a good amount of research on this incident and this perp).
https://www.youtube.com/watch?v=NF-BtESLEsU