Phenomenal consciousness as being raised here, and probably in most people's minds, is probably taken to be the self or at least deeply intertwined with the concept of a separate self. The article tries to define it left and right, but I think most people will look at their own experience and then get stuck in this conversation.
"Consciousness" in the traditions is maybe closer to some of the lower abstraction proposals put out in the article.
I don't think the idea of illusory is necessarily the right view here. Maybe most clearly the thing to say is that there is "not" self and "not" consciousness. That these things are not separate entities and instead are dependently arisen. That consciousness is also dependently arisen is probably more contentious and different traditions make different claims on that point.
"Consciousness" in the traditions is maybe closer to some of the lower abstraction proposals put out in the article.
I don't think the idea of illusory is necessarily the right view here. Maybe most clearly the thing to say is that there is "not" self and "not" consciousness. That these things are not separate entities and instead are dependently arisen. That consciousness is also dependently arisen is probably more contentious and different traditions make different claims on that point.