cc --Although you're right that there are better and worse methods to learn the piano, and you have valuable advice in your book, these ideas are far from revolutionary. Dozens of people have talked about them even on this forum.
For example, you should start learning a new piece by playing it at final speed from day one. .... You never perform slowly, so why practice it!? Not only that, but how you play fast is entirely different from how you play slowly... so you are conditioning the wrong motions into your hands. Not only that, but when you try to speed up that motion (and don't know the motions needed at fast speed), you are doing the impossible. Nature reacts to your attempt to do the impossible by injuring your hands or creating speed walls. Practically every pianist knows what a speed wall is; but it is an indication that you are doing something wrong -- correct practice methods should never lead to speed walls.
To play at final speed immediately, you practice each hand separately and shorten what you practice. Anyone can play one note at final speed. Two notes presents the first challenge, but is easily solved by moving both fingers simultaneously, but the second one landing on the key slightly after the first one.
We have discovered the concept of parallel play -- fingers moving in parallel, a concept borrowed from computers using parallel processing for increasing speed. The concept of parallelism is, of course, millions of years old (imagine a broom) and is nothing new. Since you can move five fingers on one hand in parallel, you can play these fingers at any speed so that for any group of notes that can be played by these 5 fingers, you will never develop speed walls --there is no speed limit. This gives rise to the concept of parallel sets: groups of notes that can be played infinitely fast by one hand. This type of development can be extended to solve any problem with speed.
CC made many people aware of these which was quite valuable when he released his free material.
I've never made a thread about this because I don't currently practice enough for it to be relevant, but in past experience, I've found that a) no amount of slow practice prepares me to play something at the correct tempo, and b) slow practice distorts the music so much as to remove all enjoyment from playing the piece. There is no point in attempting to play e.g. the Hammerklavier Sonata unless you are playing the first movement at half note = 138 and the last movement at quarter note = 144 etc. So the idea of starting just with individual small groups of notes and gradually chaining them together is appealing. I don't know whether it works, but I know slow practice doesn't.