In your first case, you gave a classic example of experimental philosophy. I completely disagree with your characterization of the subject as non-philosophical . Proto-philosophical , I'd suggest. Concept mapping is an excellent starting point for recommendations on how to improve our understanding of problems that involve substantial conceptual confusion.

Google x-phi (yes it has a nickname ) and you'll see plenty of work on free will, as well as plenty of metaphilosophical debate on its usefulness.

Up voted - great comment regardless of the above disagreement.