Even if you accept all of the above is true - what, at all, does that have to do with the women in the OP who was unarmed, had committed no crime, and was trying to retrieve her hand bag to return to her home?
Nothing. See posts #104, #86, and #82.
Sage Rat, I remember reading somewhere that some of the reduction in fatalities from gun shot wounds was also due to improve trauma techniques and outcomes.
That's not relevant. The studies are counting the number of cases where a gun was drawn versus a taser drawn, not whether someone was shot, nor whether that gunshot was lethal.
Say that in 2000, a gun is drawn 1% of the time and fired 20% of all times it is drawn. (These are made up statistics.) That would mean in 10,000 arrests, 20 people would be shot. Not killed, just
shot. We aren't looking at statistics of death, just usage.
The taser is introduced, and in 2003 instead of police officers drawing a gun 1% of the time, they only draw it 0.5% of the time. Having drawn it, there's still a 20% chance of them using it, but because they only draw a gun half as often as they used to, per 10,000 arrests in 2003, only 10 people will be shot.
When the police shoot you,
it is to kill you. In official lingo, it's simply to "stop" you, but it is also officially known as "lethal force". You might not die, but still someone is doing a damned good job of trying to kill you. No matter what, when a taser is used, fewer people will be shot and killed simply because fewer people are shot period. So far as I'm concerned, that's a good thing.