kidswarrior
Senior Master
Communication is often all but impossible between the people trying to handle an incident and others affected by it. There's just a whole lot going on, and often, all that the police department has done is notify the school authority (possibly not even the individual school!) about "an incident." The school authorities then decide what steps to take.
That said -- when possible and tactically appropriate, it's absolutely proper that the school know at least the broad scope of what's going on, and relay that information in an age appropriate manner to students and parents promptly.
You've obviously been there, done that. Very articulate and logical take on this type situation.
I remember awhile back getting the call to lock myself and the kids in our alt ed classroom. Info as you said was sketchy at first. Then, as we watched out front windows, saw SWAT--rifles in hand--filing along the ridgeline of the roof of an apartment building across the street. Obviously at that moment the entire police dept. was involved at some level and too busy to communciate further with the school. Turned out later that some knucklehead had cut a hole in the roof of a check cashing outlet around the corner and, caught in the act, refused to give up without a fight. (He later did, no one hurt, good ending). We got the all clear in a timely manner, and details later.