Its body, its energy, its attention, focus, and time were all devoted to that sole task by programmer fiat, and it could not choose otherwise.

I fail to see how such a robot would have perceptions, desires, enjoyment, emotions like pleasure or fear, or the capacity to conceptualize things like the end of its existence. If you're talking about automata, why are you needlessly complicating your examples with anthropomorphization?

And this really doesn't seem like a useful definition of scarcity. How does this relate to economics?