You're actually correct,Still don't know my name was written with Rules storyline and Kat's storyline in mind Labrinth did a breakdown,I can send you a link if you want it
i see the song like an introspection where he says to himself "you still don't know my name", calling he true self "my" and his "learning self" "you", and the line "i will die your slave" make sense since youre stuck in your own body and own self till death, and youre doomed to live without understanding everything in life and about yourself, even after years, you still don't know exactly who you are and what you are made for "so close but so far"