Thinking about the elevator in our commie block, it would have given a heart attack to a western European. Instead of having double doors to keep us safe from the moving wall, it had pads on the bottom and top edge so if your hand or leg is stuck, the pad will be pushed and the elevator will stop immediately. Also there was a tiny cabinet door on the right side so you can access the mechanism to force open the door or force move/halt the elevator. As kids, we would be experimenting with those mechanisms. They worked every single time, no legs or arms were lost.
Neah, paternoster is quite a common elevator design in the west: https://en.wikipedia.org/wiki/Paternoster_lift
I would have thought the name was related to the users praying before entering to increase their chances of surviving the ordeal.
The reason even its proponents accept you wouldn't build these now is that they have terrible accessibility, so they're only practical as an extra option.
i have used one at the university of vienna. sadly it was removed almost 20 years ago.
Their overall rate of accidents is estimated as 30 times higher than conventional elevators
Germany saw an average of one death per year due to paternosters