To rake in the really big Clinton-level bucks, Obama has to try and convince the left-wing billionaires, foundations, and foreign governments that he can help them retake power in the U.S.
That is how the Clintons kept the money rolling in during the Bush years. Even so, the Clintons did not rake in the really big bucks peddling influence until Hillary became Secretary of State and “President in Waiting” and had influence to sell.
Now the Clinton influence peddling business has crashed and they will be competing with the Obamas for the far left-wing scraps.
Anyway, Obama has mentioned that he will remain active whatever that means. So, as you suggest, Obama will probably carry on.