A Lean Six Sigma Book Thinks It's All About Projects

From a lean six sigma book, a view of an integrated approach (click for a larger view):

The problem is this "Lean Six Sigma" view has a project-centric (project only?) view of the world.

This ignores Lean as a management system and an organizational culture. 

How do you create a project plan (in the "Define" phase) if you haven't yet identified potential solutions (in the "Improve" phase)?

If you "finalize solutions," where is the room for continuous improvement, or Kaizen?