When Harrison picked the controller up and the controller moved up, in the first demo, I think that was simply a precanned animation. When he put the controller down, the controller did not go down.
The duck bobbing up and down and jumping out of the water, I think was mapped to the controller flicking up and down. Like I said before, you can map things to suggest translation in game, but I don't know if that's coming out of the controller's own translation (I don't think so).
It's possible the controller can detect that, the warhawk diagram suggests it, but in the E3 presentation demos I don't think that was there. I think they would have gone out of their way to show it off more explicitly if it was (e.g. actually move the controller around in the first demo..but it was just in the same position all the time, rotating around a single point etc.).