Hi Evael,
Your curvy keyboard in Part Two is intriguing. As some said in the comments, it's difficult to imagine what one would be like to play without hands-on experience. The big difference between the black and white keys on the standard piano keyboard does create a few difficulties, and yours potentially solves a few issues, as you describe, and it's quite a significant addition to be able to play a chromatic glissando rather than just a white-keys or black-keys one.
One criticism I'd raise is that when you illustrated some of the problems you (and/or Chopin) identify, your hand posture is entirely wrong, which I feel undermines your arguments. Perhaps you were doing that deliberately to emphasize the problems, but it would backfire with almost any competent pianist. Your elbow is ridiculously low, and this causes your hand to be too low, your wrist alarmingly curved, and your fingers also too curled. The elbow should be a little higher than the hand, so there's a gradual slope down the forearm to the fingertips. In this more correct position, a lot of the issues you mention are minimized. The thumb doesn't, in fact, "pass under" the other fingers, but swings next to them, and the hand is rotated (along the axis of the forearm) in this and many other motions. You wouldn't make a video about redesigning car controls and sit on a cushion on the floor complaining that the steering-wheel is hard to turn and the pedals can't be pressed easily. You also seem to give the impression you think keys are pressed by bending the fingers, which is not really what happens.
I see two potential downsides of the keyboard, as well, I'm afraid, although, as I say, it's hard to tell if they're real or not without experiencing yours, indeed probably without getting familiar with it over some length of time. The flat keys have these advantages: 1) in navigating the keyboard, the fingers often slide forward or back on the keys. It's hard to know how much this is in order to accommodate the other problems you cite, and how much it's just a fact of having two "levels", or front and back keys. Doing this on flat keys, it's relatively easy to unconsciously keep track of pressure on the key (although, of course, they require more at the back than the front to keep them pressed). Doing this on curvy keys would, I think, probably remove this ability altogether, but would at least make it quite problematic to do. 2) The flat keys also provide a long surface as a target for the fingers. Judging the height of the surface is hardly a problem - there are two different ones, black and white - so one doesn't have to be accurate in that dimension front to back (although, again, there's the stiffer action to the back to consider). The height of the key surface is important, because it governs when the key will activate. So my concern is that the curvy keys will introduce a need to be more accurate in that dimension.
That said, this is an admirable and creative experiment. It's good people try different things, and it's a hell of a long time the standard keyboard has been pretty much the same (while the mechanics behind the levers has evolved enormously). I look forward with interest to seeing various keyboardists try it and report on it.
One other thought - have you considered what it would be like to bring all the keys to the front (the width of the tails), and what conclusion did you come to? I'm thinking if one is trying to remove the problems of the two levels, that would be a fuller and more radical solution. I guess it would make it isomorphic (but still with the black keys to aid navigation), and would probably also remove any need for curves, since every key would be a "pivot point" like every other.