You're wrong. Vortex generators are used to maintain air "contact" on the upper surface of the wing in order to maintain lift at low speeds. They do not increase drag per se, ANY external mod sticking up into the airflow will increase drag, but it keeps the air flow over the wing so it aids in maintaining lift. They cause a spiral air pattern right on the upper surface (hence the vortex) so that the air doesn't seperate from the wing. Once the air seperates from the upper surface and begins to tumble and oil lift is lost and the wing stalls. Adding a VG to a plane doesn't assist in high speed performance like you were thinking. They are a low speed aid.