You're expecting a doctor to have all relevant medical knowledge permanently memorized? That's the equivalent of coding interviews on random obscure topics where you can't look anything up.

Like a SWE their value is not perfect recall of every area of CS/medicine but ability to decipher arcane documentation into actionable outcomes.

IIRC my relatives who got medical degrees all commented on just how much memorization is involved.

The $300 were not to Google the symptoms, they were to sift through the bullshit Googling symptoms will return that the doctor knows won't apply to you. Looking up symptoms without regard of likelihood is how you get "I have either the flu, stage 3 cancer, or drug-resistant super AIDS".

Most tech support is little more than Googling the right question and going through the steps in the first or second result. Knowing what questions to Google and what answers won't apply is the reason you get paid for that stuff.

I, for one, like my doctor to use tools to find possible diagnoses that she may have learned about 30 years ago but rarely ever come up, as long as the tools they use preserve my privacy.