Oh, it absolutely can. If it's bloodwork I can absolutely get that done through Function Health or similar platform without a doctor's order. If it's imaging I can fly to another country and get it done faster and cheaper (including flights and accommodation) than the insured price in the US.
I also give the AI access to all my medical records at 6 institutions in 2 countries over the past 15 years, and it draws upon that context. Doctors don't usually have time for that.