I've taught using both methods. Different schools use different methods. Can't say I've ever noticed a difference to the time students take to achieve the various milestones.
It is an artificial distinction anyway. Together pitch/AoA & power/thrust gives some combination of IAS & ROC.
Like CFI, I think consistancy of method is more important in initial task learning. With experience we become more familiar with inertia effects, control effectiveness & coordination and then we all mix and match depending on circumstance.
My personal preference for ab-initio is pitch/IAS & power/ROC coupling as I believe I have a well integrated combination of instructional method/explanations/lectures/briefs etc.
When I have to teach the alternative view then it takes me a little more thought, and some more care, to make sure I remain consistan,t otherwise I have no problem switching hats.