My son is extremely self aware of his reasons for doing things, his own thought processes, etc. All the "deep" things.
But he is entirely the opposite of self aware when it comes to knowing if his voice is too loud, if he is eating with his mouth open, or if he is fingering something that does not belong to him. Basically, if that awareness has to happen in the moment without a prompt, about something he generally considers superfluous, he does not have it.
As with everything about AS, it very much depends on the specific action you are talking about. My son lives at extremes, and that is true within the general concept of self-awareness, as well.
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Mom to an amazing young adult AS son, plus an also amazing non-AS daughter. Most likely part of the "Broader Autism Phenotype" (some traits).