I work in healthcare; these views are my own, and IANAL.
> The P in HIPAA stands for Portability, not Privacy.
… sure, that P stands for that. But one of the key sections is literally called the Privacy Rule: "The HIPAA Privacy Rule establishes national standards to protect individuals' medical records and other individually identifiable health information"
> Should Facebook have a right to access your health data? Your opinion does not matter, they wanted it, and they got it.
No. Wantonly sharing PHI with Facebook would almost certainly be a violation of HIPAA … and literally, it's already happened, this year even[1]: "The office warned that entities covered by HIPAA aren’t allowed to wantonly disclose HIPAA-protected data to vendors or use tracking technology" ("Vendors" here included Facebook and the like.) ¹
Now, HIPAA only applies to covered entities. In the context of the OP however, a hospital is a covered entity. Whether eavesdropping is permissible is a good question.
[1]: https://www.politico.com/news/2023/04/17/health-industry-dat...
¹I think regulatory agencies across the board have been giving pittances for fines, and these are no exception. There's a real question as to whether enforcement is actually meaningful, but that's separate question from whether there is a right.