In the history of mankind, doctors have always been among the most prosperous professions, so I would not bet against them. As the population ages, their services will be in greater demand.
My opinion is that highly evolved society needs specialization and people who know a lot about a little and who are secure in their jobs. You cannot have tall building made from flexible bricks.
Your "person who knows a little about a lot who will do better" if there is order around, but with dislocation and chaos all gains will go to hell.