From http://en.wikipedia.org/wiki/Stereoscopy#Wiggle_stereoscopy:
Wiggling works for the same reason that a translational pan (or tracking shot) in a movie provides good depth information: the visual cortex is able to infer distance information from motion parallax, the relative speed of the perceived motion of different objects on the screen. Many small animals bob their heads to create motion parallax (wiggling) so they can better estimate distance prior to jumping.
While yes animation does sort-of give the perception of 3d, the images here really do appear to have depth in the monitor. Its a cool trick. Now I am guessing we need to play this at a rate of 30fps each image (thus 60fps) or so so that we don't "see" the non-3d image alternations but we experience it nevertheless without a headache I might add.