We have these for our man doors:
That would not help in this case. The lock never failed, the jamb never failed. The whole door/wall unit came down.
Shooting someone through an exterior door is never a good idea. You can't get a good sight picture, can't see what is behind them, and you might miss.
Back in the 90's, a guy that I worked with shot a guy through his door and killed him. There had been numerous kick-door home invasions in the area for weeks. This guy and his friend were drunk and thought someone was after them and started pounding on his front door. When he went to the door, the guys had hid as the car they were trying to avoid came by. One of them then hopped the fence and went to the back yard and banged on the back door. My friend shot him through the door thinking he was trying to get in. His wife had already called the police. You can imagine the confusion, being woken up, pounding at the front door, catching a glimpse of some guy hopping the fence to your backyard, banging on the back door. While he was never charged with a crime, he had large legal bills, media attention, and was then sued by the guy's family.