I'm not too clear then on what is meant by a "working style." The more self-awareness and group awareness individuals have of themselves and others, the more likely it is the workplace will be more productive with less conflict. Awareness is raised when people understand generational characteristics, personality types like the Myers-Briggs (how people process information, make decisions, find energy, etc.), and modes of conflict resolution (avoidance, collaboration, etc.).
The reason generations have been given attention in the last decade or so is that we've typically only had two or three generations in the workplace, not four or five generations.