That was such an awesome story that I immediately tried to find the source. Unfortunately, all I found was an article and a stack exchange answer arguing that it is made-up by the authors of the book it first appeared in. [0] [1]
Nevertheless, I can come up with a few examples similar behavior in large organizations surrounding processes, workflows and general wisdoms.
It’s an apocryphal story that became popular with “new age” and personal development crowds to encourage you to not be like the masses. It is endearing and illustrative of a useful truism, but sadly made up to be that way.
https://en.m.wikipedia.org/wiki/Hundredth_monkey_effect