Understanding "energy" in various forms (generating force, blending with force, momentum, psychological state, understanding the "feel" of a particular movement, etc, etc) is pretty much a universal concept in the martial arts.That's why I asked if the "energy" (momentum kata & all that) was applicable to all Martial Arts, I was not certain AT ALL.
What differs are the particulars of how that energy is applied and how it is conceptualized. The "godai" classification you originally brought up is pretty unique to those branches of the X-kan family which have been influenced by Stephen Hayes's ideas. for that matter, it sounds like the way your teacher is explaining it may have evolved a bit from Steve's original formulation.