Texture in Stop Motion

I've always associated stop-motion with an animation medium that you could touch. The process of stop-motion and the use of real world materials means that stop-motion gets a lot of free texture and realism that CG has to put a lot of work into to get a similar result.

But I don't just mean "texture" as would be used in a Games or 3D Animation sense, but as Barry Purves (Stop Motion: Passion, Process and Performance) more adequately puts it as:

"...several worlds: texture, richness, space, depth, movement, shadow, lighting, physicality. They are all qualities stop motion has in abundance. It's about textures that move in a credible space."

I think this clip from Tim Burton's A Nightmare Before Christmas shows how texture can increase the visual quality of the film.