WatchTheSkies
That is correct. Parasitic drag refers to an additional volume of air stuck to the body of the aircraft and causing additional drag, e.g. such as with a windmilling or structurally damaged engine. It causes more drag than usual, but the dependence on speed is not different, as it says when quoting the page which you referenced: "Parasitic drag increases with the square of the airspeed". That is quadratic, which is bad enough, but not exponential.