If my brain were to be uploaded, it would matter very much to me how "self aware" it was in the vague and ill-defined sense that sort of corresponds to words like "consciousness" and "qualia" that we also can't test for yet.
Either such an upload is a fork of my consciousness that I wish to be protected from harm and abuse, or it is an unfeeling book that can be used to solve any problem without having to worry about those issues.
I'll only start taking any talk of self-awareness seriously once online learning is happening.
What is the self that is aware? Do you believe that the server is aware of its own existence?
But sure, if you define self awareness to mean such a small thing, then I guess there is no problem for you. Which in my view is a shame, because I think you are missing out on some bigger concepts.
Self awareness is additionally awareness of the self as an actor in the world. For animals the mirror test is often used. This requires the animal to recognise that a reflection of them is actually themselves and not another animal.
Intention involves the ability to formulate a plan to reach some goal that matters to the individual.
I see none of those in a piece of software that reads data from files and network sockets and deterministically responds to them with fixed software.