Let's start at the edgest of cases. Some emoji, for example, are combinations of multiple other emoji, and a given combined emoji may not be uniquely represented by a sequence of codepoints. In the pathological case, this could mean that an OS update on the user's system changes the composition of the same emoji, which might make it impossible for them to input their password. It is probably prudent for a system to d…
In addition, not all keyboard environments are capable of inputting the same set of emoji. A coworker once got locked out of his macbook because the UX when changing the password when already logged in allowed inputting emoji, but the OS login screen did not (could be misremembering some specifics, but the broad point remains).
Which I suppose is really a subset of the sorts of issues around ç, ö and ø, but how it can happen even on the same system in different contexts.