Going to read that in earnest, did a quick scan (not my native language) and yes: i want to differentiate here between the not-asleep and the i-think-i-know-i-am-thinking type of consciousness. It's not only experience, but knowing or thinking to know your own experience.

Furthermore, it seems only to exist or pinpoint when you're communicating with another person. In total solitude, boundaries between your self-image and the other(s) just don't hold up, and the whole thing becomes almost meaningless.

Edit: the concept of time seems to be connected to it as well, but i really need to read this paper first now, i think :)