HIPPA exists and has a lot of teeth. Given this extensive liability, I trust that if anything does go wrong they will be punished. Recordings might dramatically improve patient outcomes, and so I will let them

Until you need insurance. Or a professional license that involves a review of your medical record. Or the government just wants the data. Or the records are subpoenaed to be used against you in court. You are trusting that illegitimate uses of this data will be punished. However, there are many authorized uses that will hurt you in the long term. It is rarely to your advantage to accumulate extensive recorded medical records.

Even pre-existing insurance denials could return in the US.

Don't let systems record what they don't need. They aren't your friend.

HIPAA enforces nothing other than a pinky-swear-promise of compliance. There are hundreds, if not thousands, of middlemen who sell SaaS like this to medical professionals. If one suffers a breach then shuts down, your doctor will just switch to the next one in line with no consequences because "they promised they were compliant". Meanwhile all your medical details will end up in a public dataset forevermore.

HIPPA does not exist.

HIPAA has laughably vague rules. It's not protecting much, and you probably have better protection through tort law wrt your private information.