I am reluctant to do so. The photo of a car on a hill suggests that "where you come from", plants do not grow in a manner that best benefits them. I think the photo has been rotated, and the man in the driver's seat is the photographer's boyfriend.
....with no propeller, just a flat plate. Put it on the treadmill, and use your hand to control its speed. The belt moves, and the wheels, which have good traction, turn at some speed that is maybe the same as beltspeed (in which case the cart stays still relative to the floor), or slower than beltspeed (in which case the cart backs up relative to the floor), or faster than beltspeed (in which case the cart moves forward relative to the floor). Any problem with that?
Of course. The force needed to restrain the cart is only the result of friction.
That between the belt and the wheel bearings. You can get an idea of the forces required, by buying a $1 child's toy, and running a sheet of paper beneath the wheels It is a trivial level of force.
Now, let go of the cart, and use a fan to blow on the back of the plate. Provided the fan is blowing hard enough, the cart can stay still or even move forward relative to the floor, while its wheels roll on the belt with good traction, and it doesn't matter what the wheel contact patches are doing. Any problem with that? No hovering, hopping, or slipping required.
That is because you have
independently moving air driving the propeller.
Please move so that you can shoot your other foot.
With a fan, the wheel is driven by the prop, so the force develops behind the axle, moving the cart forward. However, for this reason (amongst others) the belt cannot force the same condition
upon the wheel.
Also, because of the synchronized motion of wheel and belt, and in concert with the internal balance mechanism, it can't force it backwards either.
(That's the simple stuff that even you should be able to understand.
Really. Do you have three feet?
The part that I don't expect you to be able to comprehend is that the fan can be on the cart, facing the other direction, powered by the wheels, and produce the same effect.)
Your expectations are delusions.
(1) The so-called "wind" is a result of the cart's motion
with the belt, otherwise there is still air.
(2) The rim of the cart's wheels, move at the same velocity as the belt.
(3) Because of that, there can be no motion relative to the belt.
(4) That means there is no "wind"