Really?
1) Muggers
The LEO's I deal with are normally "Just give them your wallet and phone. Do not fight back."
Now, admittedly, most of this advice is from the US and being near big cities. In the US, we don't tend to have kidnappings--normally muggers will take your wallet and phone and run unless you are stupidly in some dangerous area.
2) Gangbangers
Generally will leave you alone unless it is a target of opportunity. However, teenagers are stupid and can consider truly bizarre things "disrespect". Combine this with drugs and you can get some exceptions.
3) Crazy/homeless
Generally the stuff they do never rises to the level of "I can shoot him" until it's too late for you to react.
And, this is, in fact, the crux of the situation. By the time the situation escalates to the level of "I am legally allowed to shoot this person" the situation is often too far gone for the gun to be helpful.
Now, I'm not a tiny female, so I don't present a "target of opportunity". However, women are more often the victim of the gun in the house from their partner than from random strangers.
Finally, my only interactions with concealed carry in my family are accidents where someone almost got shot unintentionally. Nobody in my extended family has ever had to use a gun to defend themselves, but there have been a handful of mishaps (thankfully, nobody harmed).
The statistics are against concealed carry except in fairly exceptional circumstances (jewelers, for example).
One carries in order to defend lives. One's own life, the lives of family, and if the situation warrants the lives of other innocent people. It's true that defending life with deadly force will get one in trouble in some jurisdictions. That's why it's better to live in the vast majority of jurisdictions where justified uses of deadly force prompt handshakes rather than criminal charges.
The best jurisdiction is one where it's hardly considered necessary to carry arms, or use deadly force. Gun ownership and the murder rate (and gun murder rate) seem roughly correlated here:
https://en.wikipedia.org/wiki/Murder_in_the_United_States_by...
In states that endorse "innocent until proven guilty", the police won't even lock you up or take your gun if you can make a plausible claim to have properly used force.
When the force is appropriate, we owe nothing to the deceased and their family. The deceased was a hazard, and the family set that hazard loose upon society. They owe us:
https://en.wikipedia.org/wiki/Bullet_fee
I see that your article does not distinguish legal gun ownership from illegal gun ownership. I suspect that "murder" might not be the obvious. (suicide? shot by cop? vehicular homocide?) Medical care varies greatly by state, changing survival odds. You may also be making a backwards assumption about cause and effect: people in places with lots of murder might feel a greater need to have a gun.
I try to imagine a San Francisco or Berkeley police chief telling people to shoot bad people dead. It's... not working. :-)
But I have no idea if that could carry over to guns -- for one thing, they're more difficult to run away from.
[1] http://safe.met.police.uk/knife_crime_and_gun_crime/pressure...
However, it is true that many situations don't call for firearms, and knowing when and how to de-escalate are really the first things an armed citizen should know. Discretion is the better part of valor, keep it in your pants, etc.