So da range rules for a Sig P320 is to carry it unchambered and without a magazine. Insert magazine and rack the weapon when you're ready to fire. Make safe when you re-holster. Got it.
I own 2 Sigs, and the video makes me very wary of the safety of the gun(s) for concealed carry.
I used my brand new P320 Nitride full size 9mm at the Front Sight Defensive Handgun class. The only 2 issues I had were:
1. During the "fire 2 rds - perform a tactical reload - bring sights on target again - take up slack on trigger - make decision to not fire - trigger finger off trigger" exercise, I had an unintentional discharge taking up the trigger slack. My trigger had close to 0 travel between start of pull and discharge. At least I hit the target!

2. I've had this occasionally happen on other guns: inserting a fresh mag with slide locked back causes the slide to release forward without hitting the slide release or pulling back on the slide. Happened more often than not. More of a "plus" than a "minus" IMO.
Since that was a CCW class, I was conscious of how well the pistol would perform in real life. I had the trigger module upgraded under the Sig "voluntary upgrade" program to fix the drop-discharge design issue.
Anyway, I wouldn't lose any sleep if I carried the P320. Glock boasts "Perfection,' but no pistols are perfect. Look at the number of people having an ND with Glocks. The #1 design issue with Glocks in my mind is the need to pull the trigger in order to remove the slide. All my other pistols will allow the slide to come off without pulling the trigger first.