Moiré patterns are about superimposition of periodic patterns.

This has nothing to do with it, it's just dividing an animation into scanlines and interleaving them so that the horizontal lines act as a shutter when scrolling.

would also relate this to the technique of interlacing[1], which I find in this case even more relevant than the very special application of a moire pattern. Just that this one has more than the usual two fields.

Basically you're moving an interlaced still image composite made from multiple frames of an animation under an stripe mask revealing only the current frame, where the ratio of stripe to black equals the number of frames.

Lenticular prints[2] work in the same way, but instead of a mask the lenses blow up each line to full width (much like an optical equivalent to line doubling video deinterlacing), trading resolution in one dimension for encoding multiple frames.

[1] http://en.wikipedia.org/wiki/Interlaced_video

[2] http://en.wikipedia.org/wiki/Lenticular_printing