An AI doing valuable things like invention and stock market prediction wouldn't be a target for being shut down, though. Not in the way these comical evil AIs are described.
It's quite possible for entities (whether AI's, corporations or individuals) to at the same time perform valuable and useful tasks, while secretly pursuing a longer term, more sinister agenda.
And there's no need for it to be "evil", in the cliché sense, rather those hidden activities could simply be aimed at supporting the primary agenda of the agent. For a corporate AI, that might be maximizing long term value of the company.
