Problem is they might override the AI's (more-likely correct) judgment. See the table labeled "Predictive modeling vs. the experts" at the bottom of the article "Predictive Modeling Holds Promise of Earlier Identification, Treatment":
In the end, we'll rely on the AI. We'll _want_ to rely on the AI. Doctor's roles will be reduced to that of nurses. Care will improve. See it all described in the 2006 movie "Idiocracy":