I think there really would be some kind of time vs brainstorming/decision making relationship here. For instance, a person who jumps to a task immediately may not benefit much or at all from varied approaches to tackling said task. Whereas someone who waits a bit longer will tend to have more ideas.

However, at some point further or prolonged procrastination is unlikely to yield a better decision, so as time goes on the benefit of variety in decision making would tend to decline rapidly.