Sorry, I can make no sense of this. Could you please try to make your point more directly?
I will try.
Self identity is not a matter of just being aware because it includes memories experiences of the past, and lots of other things perhaps too numerous or unnecessary to mention...
Consciousness is about self identity rather than simply 'being aware'.
While it is broad - it is naturally broad in order to encompass everything which goes along with being aware/conscious.
I googled 'what is consciousness' and got this:
1. the state of being aware of and responsive to one's surroundings.
"she failed to regain consciousness and died two days later"
synonyms: awareness, wakefulness, alertness, responsiveness, sentience
2.
a person's awareness or perception of something.
"her acute consciousness of Luke's presence"
synonyms: awareness of, knowledge of the existence of, alertness to, sensitivity to, realization of, cognizance of, mindfulness of, perception of, apprehension of, recognition of
So there is an accepted broadness to the word which goes beyond just 'being awake or being aware'. It also seems to encompass things to do with awareness like being aware of thoughts and ideas and imaginative picture formed in the minds eye...