In other words, let's say these are the necessary but not necessarily sufficient conditions for the emergence of self-awareness: (1) having some model of the world (MOTW), (2) maintaing a relative position of Self in MOTW, (3) maintining a history of positions in time.
The level of self-awareness then becomes a function of the complexity of MOTW and the complexity of the system's interfaces. For example is the model good enough to help it survive or reach whatever goals it's programmed to achieve? Is the system flexible and adaptible enough? Can it discover and learn by itself?
So again, in this regard a GPS system is so primitive that it may be comparable to that of an amoeba or even worse. A coordinate space alone is not a useful or interesting MOTW that would help your GPS box achieve its goals.
Try to think of your exact quantum copies - what happens the moment you are cloned? What happens to your "I"? Nothing. The "I" never existed in the first place and therefore nothing happens to it when it's physically copied ;) That's the paradox.
If you haven't heard of LessWrong before, then you have hit the motherload of all rabbit holes! That site is definitely worth the dive.
[0]:https://www.lesswrong.com/posts/HFTn3bAT6uXSNwv4m/optimizati...
By calling it a spectrum, the already fuzzy definition becomes so broad as to be almost useless. Your spectrum and "knowing" model admits conscious GPS, albeit "low consciousness." What about spiders or GPT-3 or suitibly chosen digits out of an RNG? At best these all fail the intuitive answer test for most people.
Perhaps you have a mental model of Yudkowsian self-optimizers? Or maybe you are thinking more classically along the lines of Kant?
The whole problem I am trying to communicate is that your are playing and refining a model without defining exactly what your are modeling.