It proves him wrong that there is no workaround, but also right about the principles if this was to work.

Technically it is following relativity, and only works if relativity works. I'll give an example.

Let us say that it will take light 1 second to travel from point A to point B, i.e. its 1 light second in distance. This warp drive temporarily warps the space in front of the ship to make it smaller, so that the ship gets from point A to point B in less than 1 second, but thats really because it traveled less than the full distance, its sort of like tunneling or wormholing, not because it actually moved faster than the speed of light.

For this to work, Einstein has to be correct that Gravity is not a force, but actually the warping of space, as this warp drive depends on the ability to warp space in front of the ship and shrink the distance temporarily between these points as it travels. If gravity is in fact the result of a theoretical Graviton particle and not the warping of space by mass Einstein claims, then this will turn out not to work at all