If we define consciousness this way, then a plain transformer is not conscious because it's not able to explain its outputs properly or make corrections to the pipeline (i.e. "cannot modify its own system prompt", if simplified). But an ensemble of LLMs "orchestrator/analyzer + reasoning subagents" can probably viewed as something approximating 'consciousness".
I think a chess engine can be proclaimed conscious if it has the properties listed above. However, my very simple and mechanistic definition of consciousness is debatable, especially since by many it's conflated with "soul".