Does parallax work on mouth? (Does it and should it?)

Does Parallax work on the mouth of puppets? If I set to 1000%, I can see it move the eyes a bit and the nose a lot, but I cannot see any mouth movement at all.

I tried the Bongo puppet as well (comments suggest it has "parallax mouth") - but I cannot see its mouth moving there either (with parallax set to 1000%). The nose moves (top half of Bongo's mouth), but no parallax movement of mouth that I can detect on Bongo or any other puppets I try.  Am I missing something?

Parallax looks quite cute, except if the eyes and nose moves and the mouth does not, it looks a little strange.