I think at the moment using AI would lead to the perception that the doctor is incompetent.
But I would always rather a doctor who consulted AI and then overlaid their personal experience and expertise to rule in and out what the AI suggests.
The idea that any/every doctor knows everything, or even could know everything is so false and wrong and out of date.
There is probably a business opportunity in this somehow, for "AI first doctors" - their target customers being people who want the best human advice PLUS the best AI advice.