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"
-
Let us name our Guardians. For reals. Rocking out three Guardians who all presumably use the same name is just silly and doesn't do any justice to the ideology of game content immersion.