While tech workers are unregulated, clinicians are highly regulated. Ultimately the clinician takes on the responsibility and risk relying on these computer systems to treat a patient, tech workers and their employers aren't. Clinicians do not take risks with patients because they have to contend with malpractice lawsuits and licensing boards.
In my experience, anything that is slightly inaccurate permanently reduces a clinician's trust in the system. This matters when it comes time to renew your contracts in one, three, or five years.
You can train the clinicians on your software and modify your UI to make it clear that a heuristic should be only taken as a suggestion, but that will also result in a support request every time. Those support requests have be resolved pretty quickly because they're part of the SLA.
I just can't imagine any hospital renewing a contract when their support requests is some form of "LLMs hallucinate sometimes." I used to hire engineers from failed companies that built non-deterministic healthcare software.