I personally think this could be useful whenever you’re searching for people say you encountered some nice people you wish to befriend and you somehow forgot to add them just before they had to leave then woopsies, you remembered their character name instead of the other one which you couldn’t use to add them X___X.
That example above is one of the reasons why I want to have a wider search criteria for this function of the game. Say criterias like character name, class + circles, level, and etc. (if more criteria are thought of)
This could also be useful for guild recruitment but of course, we shouldn’t forget to have some anti-spam and anti-annoying people features in the game 

