I'd be really interested to find out how many people have been injured or killed using typical elevators versus paternoster (obviously taking into account how many more people have used the former).
I assume insurance companies have already done the math on this and that's why they were phased out.
A Paternoster is probably fine as long as there is also a regular lift somewhere in the building for people who can't use the Paternoster easily.
If I understand it correctly, paternosters are so rare that current elevator safety standards ignore them as a separate category and lump paternosters together with normal elevators without cabin doors. Probably every paternoster currently in use not only has safety sensors preventing (reasonably sized) objects being caught between cabin and platform but has had them since it was installed. Similar mechanisms are being retrofitted onto elevators without cabin doors but the implementation is different (as elevator-style proximity sensor that interlocks cabin movement would obviously negate any benefits of paternoster)