Could you elaborate on what you mean by "special case of randomness"? As far as I can tell, you don't ever really explain this within the post, from which I infer you probably think it obvious enough to not be worth explicitly saying. Whenever an author thinks this, however, it is usually untrue, and in fact I found (and still find) whatever you were trying to say completely non-obvious. I think it would greatly help discussion if you were to put a brief explanation of your idea within the post; that way readers won't be left floundering.