The potential problem with your speculation is that the relative reduction of the mandatory-work / cognitive-power ratio may be a strong incentive to increase individual work load (and maybe massive lay-offs). If we're reasonable, and use our cognitive power wisely, then you're right. But if we go the Hansonian Global Competition route, the Uber Doctor won't spend more time on each patient, but just as much time on more patients. There will be too much Doctors, and the worst third will do something else.