A human can notice when new evidence becomes relevant. If something isn't already on a computer's checklist when it becomes relevant, the human has a better chance of deciding what to do.
EDIT: I understand that there is research going into making computers recognize "novel" situations. My comment only applies to algorithms that contain "checklists".
No, then you need to get meta. There's a checklist for identifying "novel" information and reacting. By checklist I mean algorithm.
Sure, it can be tough to tease out the algorithm from the minds of current pilots. Luckily in aviation we already have training manuals. In other domains it'd be tougher to know when we're done extracting knowledge from humans.
EDIT: I understand that there is research going into making computers recognize "novel" situations. My comment only applies to algorithms that contain "checklists".