I get no one will convince you otherwise, but I think there's value here for others who are reading the thread.
I have a daughter that was carjacked at knife point as she was leaving work and walking to her car. Fortunately, she didn't get hurt, the stupid carjacker didn't know how to drive a stick shift, and he ran off.
If she had been armed and had shot the guy non-fatally one time in the chest, I'm pretty sure he would have decided the car wasn't really worth all that effort and had somewhere else to be.
On the other side, if the police would have been there and confronted him, he's not going anywhere and it may have turned into "you ain't taking me alive, copper!"
You may not see it, but it's different.