I think most people can behave in multiple different ways according to context, almost as if they were different people. How they are around their boss may not be the same as they are with subordinates. They might be one way with mates down the pub, and another way with friends and family.

So you might find a crisis brings out someone's "work personality", which you might not have seen before, and you might be surprised by how capable and decisive they are. Or they might go the other way, completely out of their comfort zone and needing to be told what to do. I think which they they turn is likely to be influenced by group dynamics. And I think in a totally new situation, you can get new sides of their personality emerging.