The available characters in each set are user friendly - there are no ambiguous characters such as i, l, 1, o, 0, etc.
Therefore users seem to be encouraged not to use clipboard to store the password (but rather write it down), however some generated passwords doesn't fit into the secure password tag.
Ah, unambiguous are really for the benefit of someone reading a password, not writing it down. In any case, the input is too narrow, you're right. The solution, I think, is to replace the input with a p and to wrap break-word or something. Well spotted.
Password generator has been removed in 43a14c32502a565f7e68120e90a5ce34168c64b0
RIP