No I read everything you said but I didn't paraphrase your comment, I expanded upon it in an attempt to demonstrate why, even if it appears we're saying the same thing, the conclusion you drew was incorrect.
Being unarmed doesn't mean an assailant is not a threat IF they STILL have both the 1) ability and 2) opportunity to place your life in jeopardy.
Babbett may have been unarmed but she still would have posed a threat had she breached that window which was the threat that Lt. Byrd prevented by shooting and stopping her. This is BECAUSE she was leading the mob or if you don't agree that she was the leader, she was still a part of a mob that had demonstrated by word and by deed that they were a violent threat. She didn't make it to the other side of the locked & barricaded door which visually shows that those on the other side had taken measures to prevent anyone from gaining access to that area. You can see in the video that they had stacked what looks like furniture against the doors to the chamber to try to prevent the mob from getting in. Babbett didn't make it through nor did anyone else which was the ultimate goal in defending that area.
And that's how you generally make the determination as to whether the shooting was justified or not.
We have to answer this question every year when we recertify for our firearm certifications and so far I've done so for 11 years so I know of what I speak because my instructors are professionals.