I haven't read the book and I've read only some of the posts on this thread. From what I can understand the book is about ways to practice pieces. I can certainly see value in that especially for some of the basic ideas like practicing small sections. On the other hand I think this kind of approach can omit what I would call the most important idea.
The most important part in solving problems at the piano is I think figuring out what's causing the problem and what one should do about that. Playing small sections, playing some fixed number of repetitions, taking breaks during practice or for days on which a piece is not practiced, and some of the other things I've read on this thread that are in the book can all help. But I think they are often insufficient.
For example, to take a purely technical exercise, one can practice scales endlessly And use all of the Gebrian suggestions but with improper technique they will usually not improve or reach some limit or improve much more slowly than if one made technical corrections. If one has problems with some passage or piece, practicing something over and over may not be very helpful unless one figures out why there is a technical difficulty and figures out some solution.
For me, fingering turns out to be very important. So if a passage is causing difficulty for me I quite often end up trying a different fingering. Just an example.