Almost no one refuses.
I do NOT want a transcription ERROR in my medical records.
I bet if she says something like "AI will transcribe" then there will be more hesitation, although maybe not more refusals because most people don't know how it can make mistakes.
Are they informed that their personal medical information will be shared with an unknown set of third parties / LLMs subject to manual QA / cloud services with telemetry?
Honestly sounds like she's opening herself up to massive lawsuits (depending on State law). I would reach out to the legal department if any doctor pulled this kind of shit on me.
Also, I guarantee you signed a paper when you first were enrolled with your PCP giving them permission to share your medical records with third parties when needed (subject to HIPAA compliance of course).