There are two types of emergencies - checklist ones, and panic ones. You need to have both, but realize that in the panic ones people do NOT operate rationally.
This is why house doors open in but business doors have to open out - if there’s a crush against a fire door it opens.
You even see this in aviation, where everything is checkisted; the pilots will first stabilize the plane in an emergency and then run the checklist. And small plane that operate unexpectedly are always higher in crash rates.
Normal people should drill certain non-normal events (for example, all drivers should know how to deaccelerate and get off the road quickly).
But you should NEVER design a system that requires normal people to drill non-normal events; even planes have been redesigned to "fix" problems where the pilot had to do something unintuitive or unexpected, because eventually it WILL catch up to you.
Note that in airplanes (unlike cars) you normally cannot just get in a new one and fly. You first get training on that particular plane. If everything goes perfect any pilot can get in any plane and fly it, but if any little thing goes wrong they better know how the plane flys very well so they can get it stable enough to run the checklist.
You probably shouldn't just get in a new car and drive it, but people do. I remember at a hire car place once the team I worked with were given an automatic, the guy driving has never driven an automatic transmission before, but his license authorises it (UK licenses allow everybody to drive an automatic, but you need to test in a manual to drive manual), and so they just lent him a car with a completely different driving style. He had to get them to show him how to even drive it away out of their car park.
I learned in the small car from the same brand as my father's larger car, so that the controls are in the same place, the symbols on stuff are identical, all that was different once I have a license and borrow dad's car is it's longer and has more power.
It also probably shouldn't be legal for me to drive today, but it is. I learned 25 years ago, and I haven't driven anything in over a decade, so a rational system would say nah, you're too rusty, get a refresher course, but there's no mandate for that.
It is kind of mind-boggling insane that you can be 25 years or (younger in some states/places), having only ever driven a smart car (so you have your license) and you can walk into U-Haul and rent a 26 foot box truck with a trailer, and the most they do is tell you not to go under low overpasses or into drive-thrus.
This is why house doors open in but business doors have to open out - if there’s a crush against a fire door it opens.
You even see this in aviation, where everything is checkisted; the pilots will first stabilize the plane in an emergency and then run the checklist. And small plane that operate unexpectedly are always higher in crash rates.