Esoteric philosophy musing of the day

Both Kierkegaard's 'teacher-god' in the Preface to Philosophical fragments and Nietzsche's eponymous Zarathustra are, quite deliberately, characters resembling both Socrates and Christ. While we're fairly certain (or, we know) that Nietzsche didn't read Kierkegaard, Zarathustra is almost an inversion of the teacher-god -- the same kind of inversion that Kierkegaard is using against Hegel with the teacher-god itself. Is this accidental? Or perhaps there's some historical subtlety here that could tell us interesting things about the proto-existentialists of the nineteenth century.