Very true, and very well said. We have all been down that road.
However, this is the 21st Century, and no one, (absolutely no one), is going to convince me or any other modern technician (Taubman, Golandsky, Mark, et al) that the daily practice of said is an essential part of piano technique.
The antediluvian method of the daily playing of scales, broken chords, and arpeggios (in whatever fashion) is a complete waste of very valuable practice time. Nevertheless, (as very accurately alluded to by the prior post), one should also theoretically break down any section of any piece, and then apply the specific scale, seventh chord, or arpeggio.
After flying half way across the U.S. for a five hour lesson with Thomas Mark, that is the first thing I finally realized. That is: I no longer had to "warm up" or improve my technique by the daily playing of this junk!
So, learn your "All" of your scales and arpeggios (including alternative fingerings, i.e. Chopin), and then take that knowledge and move on to the concept of musicality.
Does anyone really think that anyone is ever going to ask you to play, in terms of an audition, any of this stuff? The answer, unfortunately, is that everyone one of the 644 Accredited NASM Music Schools in the U.S. is going to ask you to do just that.
Is it your goal to become a real musician, or is it to pass some test? Enough said!