"consciousness" is badly defined and understood. my guess is that as we experience it, it has the following features roughly stated
1. existence via emergence, ultimately from a physical substrate but through intermediate levels
2. multiple components (sensory inputs, awareness of cognition, memory maybe others)
3. a mode of processing or coordinating the components
restating, what we experience as consciousness is an emergence from a series of components interacting with one another within a specific class of system.
when we describe a hypothetical generative model as "conscious," we (probably) should imagine a very different sort of from our own. what emerges from the code running in a data center might conceivably have components and coordinating processes analogous to ours in some ways, but their specific shape and texture need not be assumed to produce an experience recognizably like our own.