I’m not sure your definition has much to do with consciousness, as it would also be satisfied by an AI that runs on an Intel processor and whose utility function says all AIs should run on Intel processors.
Its utility function would have to say that all conscious AIs should run on Intel processors. There is self-reference there.
But, I only have rather low confidence this idea is correct (what being correct means here) or important.
I’m not sure your definition has much to do with consciousness, as it would also be satisfied by an AI that runs on an Intel processor and whose utility function says all AIs should run on Intel processors.
Its utility function would have to say that all conscious AIs should run on Intel processors. There is self-reference there.
But, I only have rather low confidence this idea is correct (what being correct means here) or important.