I'm not clear what the word 'consciousness' means. It seems to have at least two meanings, 1) a system's responsiveness to its environment, and 2) some kind of inner-theater of "self awareness" that we humans believe that we enjoy.
But it seems to me that the first sense of 'consciousness' is only found in systems of suitable functional complexity (biological organisms and perhaps in some electronic devices and whatever). I'm inclined to think that it's basically just causality at its core. 'Consciousness' in the second sense seems to be restricted to a smaller subset of biological organisms. Worms react to their environment but probably aren't conscious in the second sense of having a robust sense of 'I'.
Order is a much broader category than that. Inanimate physics is orderly, chemistry is orderly, mathematics is nothing if not orderly. A circle is an orderly geometric figure, but it isn't thereby conscious.
Maybe, I don't know. This is why much of the philosophy of mind sounds like gibberish to me, because they talk about 'consciousness' incessantly without ever defining or otherwise clarifying what they are talking about. Exercise of reason might not have a whole lot to do with consciousness in the self-awareness sense. Computers are nothing if not rational. (And yes, understanding might involve a lot more than just the exercise of reason. So I'm not really sure what 'understanding' means either.)
In probably every real life instance it isn't. Outside mathematics which deals in conceptual objects that only have those properties that we define, I think that it's safe to say that we don't possess a complete or absolutely correct understanding of anything.
What do you mean by "order chaos/complexity theories"? Can you give an example? I'm not sure what you are talking about or why I would want to remove them from discussion.