Snowman,
With a planetary mixer, at least the one I have, the bowl rotates from right to left, and so does the hook, although, unlike a planetary mixer, the hook is in a fixed position at the back of the bowl. I've used both a planetary, KA 600, and a spiral, Esmach SP5, Italian made, and have to say that the spiral mixer is far better. When I grow up, I'll get a fork mixer.
Jim