We've all made our guardians just how we want them; they're the class we want them, the race we want them, and they have the face we want them to have. It'd be a subtle, yet great customisation option if we could name them.
It shouldn't show as a display name though, it should only be visible to others when they inspect your character.
EDIT: to support and sign the petition, leave a comment saying: "Name our Guardians"
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Everyone's like oh I won't be able to find my friends. I call BS. I used to play WoW for years and I had no problem finding any of my friends characters. In fact, the ones I played the most with, I had them memorized by heart. And Wow is actually a good example because in your friends list you can see your friends Battle.net username (ps name) and which character they were playing at the time. Name our Gaurdians