As I understand it, what the superconductor experiences is equivalent to being just a stationary block of superconductor, with permanent magnets being moved and dragged all around the place. While these magnets can induce eddy currents in the superconductor as the magnet approaches, that extra current loop just sits there and if you remove the magnet, the process reverses and you end up in exactly the same state that you started; no losses to speak of.
It's quite easy to understand in the context of a block of superconductor with a permanent magnet being lowered to its surface and raised again -- and I see no particular reason why any other sort of motion would behave differently.