But you are moving the goalposts. A kid with a BB gun is as much of a threat to the police as someone who they honestly believe to be armed.
So how can you be so sure one is right and the other wrong?
Just because you believe someone may be armed doesn't mean they constitute an immediate threat to life. If a kid is holding a BB gun that you believe to be real and pointing it at you that constitutes an imminent threat to life.
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Armed police are experienced officers who work under great pressure and are subject to great training and, indeed, scrutiny. The number of instances of one of these officers having to shoot a person is very, very small. However when it does, it is important that they are able to make the decision to do so without hesitating over the possible legal implications it may have on themselves. If a small proportion of the incidents where shots have to be fired (which is so small in the grand scheme of things itself it is barely quantifiable) result in a person who was not a threat being killed then the officer's judgement has to be respected and accepted.
It would be a terrible day if someone from Islamic State were able to kill many people with a device, and a police officer who had the opportunity to kill the terrorist before the event hesitated over doing so because they thought "what if?".
that would definitely lead to an American style of policing. Shoot first ask questions later. That would be tantamount to giving officers a license to kill anyone if their judgments were not scrutinised.