I read the actual details and it isn't as clear cut as you are making it out to be. I don't wish to derail the core topic, but this needs to be said. The NP referred a patient for admission, discussed this with a hospitalist who denied the admission, and the patient died. Its misleading to suggest there was no physician-patient relationship. While I do not absolve the NP of blame, neither do I absolve the hospitalist.
It's like being called by the ICU to intubate and you listen to the report and decline to come. The patient proceeds to go into hypercarbic arrest. Are you liable? To some degree, absolutely.