Regardless of the approach, both ends of the problem-solving spectrum require constant movement. Without movement, a comprehensive collection of details amounts to little more than anxiety fodder. Without movement, going fast and breaking things is little more than lip service.
When we realize that movement is the common thread in our opposing approaches to problem solving, any movement can become good movement. When any movement can be good movement, the problem is allowed to determine for itself the path we take towards discovering its solution.