Whether the company employs a human nurse or an AI, the company and not a human is indeed considered the responsible party.
The LLC might be fucked but it is not a flesh-and-blood person. There is no person responsible. Just a legal entity.
So nothing is changed. I think we're in agreement?
Do you think there's no difference in material outcomes when a company faces consequences of a specific human nurse being negligent vs an AI hallucinating?