No, not this again.

Example A vehicle will not move because it has no reference to ground.
Funnily enough, in the thread where this diagram first came up, I demonstrated an analogous vehicle (constructed of Lego) with sufficiently high gearing ratio does move. I even used a worm gear, to ensure there is no energy storage nor slip-stick effects. Didn't sway OP, because this is about
belief and not physics for them.
The claimed diagram has very little to nothing to do with physics, it's just a drawing showing OP's beliefs. That's fine, but don't mistake them to have any relation to physical, observable and measurable reality.
The exact Lego model I have, uses a worm gear to a vertical axis, with a pull string connected to that vertical axis. (Rotating the vertical axis makes its wheels turn, but because of the worm gear, the wheels cannot rotate the vertical axis.)
Regardless of the horizontal direction you pull, if the model has sufficient traction, it will go forwards. It travels just fine in the opposite direction compared to the direction you pull the string, for example; and just as well in the same direction you pull, and if sufficiently heavy (good traction), can travel faster in the direction you pull than you pull the string. Last time, OP claimed was impossible, pivoting to 'possible only due to "slip-stick hysteresis"'. There's nothing like that; basic proper Newtonian mechanics describes this perfectly, even if feels "weird" or unintuitive to most people.