Deary me, JBTH, I have already explained that.
The cart's theory, is why YOU don't want people like Spork, and their cranky "intuitions", to have anything to do with the design or maintenance of an aircraft in which you may one day find yourself a passenger. Trust me.
Aircraft are indeed slowed down by their propellers -s ome are deliberately designed to do that.
http://en.wikipedia.org/wiki/Controllable_pitch_propeller
"the reversible propeller can also create reverse thrust for braking or going backwards without the need of changing the direction of shaft revolutions."
But that is by way of information.
There is drag, but also "lift". The engine applies power to the prop shaft, such that thrust can be generated to overcome the drag and then some.
That is an entirely different proposition, from running the aircraft on the drag it generates by moving through the air that generates the drag.
What about the chart and the two carts? NALSA have created a non-record.
Once again, the power to turn the propeller comes from the relative motion of the ground.
The energy for the cart system comes from the KE of the air wrt the ground.