In my opinion I wouldn't refer to that layer system. He has made the whole process of lucid dreaming overally complicated.
As far as I am aware, no one on this forum refers to that system for that reason.

I see lucid dreaming as two terms. Fully Lucid and Semi Lucid.
Fully lucid being you had control of your dream, and semi lucid being meaning you had little to none.

Anyway.

Congratulations on your lucid dream! Hope theres many more to come!