There are plenty of researchers and PhDs who are subject matter experts on vaccines who can help educate, but I don’t think it’s possible with 1 on 1 interactions.
Uh, there's no doubt doctors treat people "one on one." A significant part of a doctor's treatment of a person is proscribing a behavior. And human beings being what they are, any wanting to elicit a behavior needs to spend some time educating a person on why they should behave this way.
I'd agree that the standard for how doctors should operate has become something like what you describe - a frenetic technician rather than an educator, counselor and authority along with the technician part. I'd say that's degraded the quality of American health care, along with all the other it's been degraded.
The idea that a doctor should be removed from general health care concerns seems as poisonous as just about any other other part of the modern American dysfunctional health care system.
A doctor isn't on the top of the health care system merely to provide specialized services. They are there to do exactly this, give the broad public a sense of what science, medicine and general health are. Who else can speak as authoritatively? Especially when you crackpot authorities putting out wholly destructive ideas.