There are infinite things worth doing, a machines ability to actually know what's worth doing in any given scenario is likely on par with a human's. What's "Worth doing" is subjective, everything comes down to situational context. Machines cannot escape the same ambiguity as humans. If context is constant, then I would assume overlapping performance on a pretty standard distribution between humans and machines.

Machines lower the marginal cost of performing a cognitive task for humans, it can be extremely useful and high leverage to off load certain decisions to machines. I think it's reasonable to ask a machine to decide when machine context is higher and outcome is de-risked.

Human leverage of AGI comes down to good judgement, but that too is not uniformly applied.

Why would we let a machine decide what's worth doing? In what way could its decisions be better? Better for who?