I completely 100% disagree. Yes, it is about stopping the threat and using as many tools and techniques as you can to avoid killing another person while stopping harm to yourself.
All of that stops as soon as you make the decision to draw.
As soon as you clear leather, you have all ready made the decision to pull the trigger. Either you intend to kill and you draw, or you do something else that does not involve pulling out your CCW. There are no brandishes, no warning shots, or other intermediate steps along the way. I don't know of a credible and accepted self-defense firearm instruction theory/method that teaches brandishing or warning shots or the like as steps to take in a self defense situation. If it is serious enough that you are drawing, it is serious enough for you to pull the trigger.
This is the same category as decisions in aviation like aborting a takeoff, pulling the ejection handles, etc. It is binary.
If you do not intend to kill that other person, then you should not be breaking leather.
Now...that's not to say that if you draw and the situation is stopped without you pulling the trigger that you HAVE TO. Of course that's not true.
You, however, set up a scenario in your post where someone was pointing a loaded 1911 at someone else and said that an "accidental discharge" would be the result if an adrenaline-charged twitch of the finger pressed the 5-6# pull of the single action trigger. That's not an accidental discharge...no more than the opening of the parachute is "accidental" after pulling the ejection handles.
You don't draw your weapon and point it at someone if you do not fully intend to kill them. It is that simple.
Pistols: several 1911s by various makers, B92FS, a couple Star 9mms, Smith and Colt revolvers
Rifles: Several Garands, several Carbines, SKSs, 1903, 1903A3, AR-7, M1917
EDIT: Here are some of the rifles:
...and here is one of the Stars and one of the 1911s