The academic / business divide is a great example of the correct model depending on what you want to do. The academic side wants to understand, the business side wants to take action.

For example, the Viable System Model[1] can capture a huge amount of nuance about how a team functions, but when you need to reorganize a disfunctional team, a simple org chart and concise role descriptions are much more effective.

[1] https://en.wikipedia.org/wiki/Viable_system_model