So there are a couple of interpretations for what 'invisibility' could be.
One would be that it acts like a video camera, capturing the image on one side of an object or creature, and projecting what it captures onto the opposite surface. This would create a human shaped distortion, but would not create a void. I've seen this interpretation only twice before (though that doesn't make it any less viable).
The more common one is that light passes through the invisible object or person as if it weren't there. In that case, any textures in the air would not follow through the space the invisible entity occupies. This is consistent with the idea of carrying around a sack of flour to reveal invisible opponents when they appear. Since the flour lands on the surface of the person, and leaves a void, it creates a profile of the entity in question.
Personally, I'd roll with the latter explanation - though I am quite biased. I once had a player use a fog cloud to detect a number of assassins equipped with potions of invisibility, and, in admiration of that creativity, that is the interpretation I've been using since.