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Actually, yes, it does. My right to safety from great bodily harm supersedes your right to rob a convenience store. No one is asking for an improper investigation.

 

Your argument that no one is "directly threatened" is irrelevant since several subjects were already threatened. If a subject presents a means and capability to cause great bodily harm to someone (robbing a store with a weapon) and attempts to flee, then one has the legal right / authority to end the situation with equal force. The court system has already decided that if ANYONE (Officer or otherwise) suspects that the fleeing felon has the ability and can actually cause harm to another, then they're justified in shooting that person.