@Cycloptichorn,
OK, it's either a hoax or an appalling measurement error (I vote hoax).
Here's why, and how they got those pictures:
First, can we agree that if there is no wind, and the car is at rest with relation to the ground, that the thing will not accelerate? No forces acting on it at all.
Next, can we agree that the best outcome possible is for the drag from the wheels to exactly match the thrust from the propeller? Ignoring all friction losses, with perfect power transfer, drag = thrust.
If we agree on those points, then the case of a stationary car, and a car moving at the same speed as the wind are equivalent. The apparent mostion of the ground is immaterial. Thrust and drag cancel out, and there is no wind relative to the car, so the car cannot accelerate.
Then how did they get those pictures?
1. The car on the treadmill, I believe there is a fan at the back of the treadmill. It is put in place while the narrator is demonstrating the car for us.
2. The car on the salt flat, the string measuring apparent wind is placed in front of the car (and thus in front of the propeller), not to the side. To properly measure indicated airspeed, there should be a pitot tube way out to the side. The way they did it would be like having a pitot tube directly in front of the propeller on an airplane; you would get ridiculously high indicated airspeed.