I watched your videos, and on the positive side, I think it is good for the student or self-taught player to understand that this invention is really built on a series of articulated chords, going from one logical modulation to another with a few surprises along the way.
I also think the invention is so natural as to fitting the hand, that the student should be allowed to find what works for him/her and engage the intuitive portion of thinking to learn to work things out for themselves. By playing the chords of which the piece is constructed... light bulbs should go off in one's mind realizing the how and why of the articulated version being ultimately simple.
If a student -- after a basic overview -- has particular technical/musical problems with certain passages (and this depends on the talent and work ethic of the individual) then you seemingly have covered every reasonably possible step by step tutorial and idea with which to aid the student.
However, I find this approach as a standard, very confusing and very complicating of something relatively simple. This applies to the singing as well, IMO, in that vocal singing could be used as an intervention when the student doesn't "sing" at the piano, not as an overall strategy.
Also, you seem to teach very excessive movement, which I don't understand. Practice should lead to more and more precise and refined movement, not large arching arm and hand movements.
Large attractive movement also can only work up to a point, and after that, with quicker tempos or more advanced repertoire this type of movement simply does not work.
I have to assume your performance of the invention is to demonstrate the methodology of your teaching in the prior video for students, not necessarily the way you'd perform it.
You DO seem like a very knowledgeable teacher, however.
Topic: Thoughts on BLOCKING Bach--invention 13 in A minor