Patient right to privacy for medical records

I am not sure your point.

There is no problem sharing PHI with other medical providers; in fact HIPAA specifically permits and encourages that.

But OpenAI is not a medical provider.

If you want to use OpenAI for some reason in a particular case - perhaps to explore and expand the differential diagnosis in a challenging case for example but not replace a licensed provider’s oversight and responsibility - then you need to remove patient name and all other PHI before submitting the case history to OpenAI.