There are many good reasons why the paternoster should become extinct. Access for the disabled, anyone with heavy luggage and frankly anyone who isn't nimble on their feet being the main one.
I still have nightmares about the only time I had to use one. In 1969 I went to my first interview for a university place, at my first choice, Newcastle University. About 10 potential students gathered in the foyer of what looked like a brand new building where we were met by a lecturer (I think) who after saying a few words to us, said "Follow me" and jumped onto a passing paternoster lift and disappeared within moments. I don't think he actually said which floor we were going to, though I may just have not heard it. We had no choice but to follow, though I was very tempted to try to find some stairs. As I went up in this lift, I kept thinking what happens if I don't manage to get off in time? Do I get squashed on the ceiling? If I miss it altogether, that then happens? Do we flip over and hurtle down the other side, or just get crushed into nothingness? Obviously none of those do happen, and I did manage to get off ok, but I failed the interview, partly I'm sure do to having not recovered from the experience.