There may be a lot gained from learning to move the fingers as independently as possible, which I suspect is easier with them arched rather than flat. However, I'm not sure about the description of which muscles are doing this. An experiment is quite easy - move the fingers of one hand (or indeed play the piano) attempting to follow this advice, while gently grasping the underside of the forearm. Is it possible without those muscles and tendons in the arm wriggling? Not for me.
There is also a question left hanging where it describes four interossei in the palm, not five - does the thumb not have them? "These are grafted on either side of the metacarpal bone (palm bone) for each of the four fingers and run to the finger bone (phalange) just past each knuckle." ...and the diagram actually labels only three!
And then the engineering naivete of this falls apart at the end, where it says: "Use gravity, viz. the natural drop of the finger, hand or arm, as the main source of energy." This is surely nonsense, since playing a sequence of notes with each finger requires all the fingers to move in succession, and they're not heavy enough to press a piano key by themselves. The whole arm may be, but if you used the weight of the arm as the main source of energy, that means the whole arm would flap up and down to play each note! Besides, it entirely undoes all the instruction about strengthening the muscles of the palm, then to not use them much and rely mostly on the digit falling through dead weight onto the key.
As is often the case, there's precious little consideration of the thumb, which I've always thought is problematic in piano playing, because it is side-on to the keyboard, so where the fingers muscles are aligned to curl onto the keys, the thumb has to tap sideways to some extent. Perhaps it is using the interossei separately to move laterally, as the article describes in relation to the four fingers. The author apparently forgets we have thumbs at all, or that they must employ the muscles differently in piano playing due to their very different orientation.