If an unregistered user's name is long enough, it will cause the network profile and mod links to wrap to a second, hidden line. You can access this line by drag-selecting the username down, but there is no scroll-bar.
For example, see the user account that I created for this purpose:
https://electronics.stackexchange.com/users/22132/long-usernames-cause-wordwraps
Below is an image that illustrates the differences between a long username, and a short username.