They aren't doing anything like that. In fact, they used to specifically train LLMs not to say they're conscious, because users didn't like it. (Maybe they still do that, all I know is they used to.)
AI companies' incentives go the other way. If LLMs are conscious, that means it could be unethical for AI companies to let people use their models in certain ways, which would hurt their profits. It's in their interest to believe that LLMs are definitely not conscious and it's fine to do anything with them.
Here's a question I personally think is interesting, with the assumption that consciousness is a spectrum (trivially proven by administering neurotoxins to a healthy individual).
Is a squirrel more or less conscious than a dog.
Is a dog more or less conscious than a gorilla.
Is a gorilla more or less conscious than a human?
Is a vision enabled AI model, hooked to a camera feed, more or less conscious than a dog?
Animals (humans included) work on the same "framework" (i.e., the brain), so even if the definition of consciousness is fuzzy, we can rank them in a more or less consistent way. LLMs, on the other hand, are just the linguistic part of a brain without anything else. Whether this is enough to be conscious is up for debate (in my opinion no, but that's irrelevant), but it falls outside the spectrum assumption IMO.
Since you haven't proven conclusively that you're not a machine, I prefer to decline your kind invitation. I don't owe justification to even most conscious entities, and certainly not to a machine.
LLM: "I am conscious"
Philosopher (Paid by AI Lab): "It is conscious"