The Wright brothers' first priority was to patent their airplane, and they duly received their patent in 1904. It didn't just cover their specific design, but the whole concept of three-axis control - being able to independently steer the aircraft in pitch, roll, and yaw - that was critical to powered flight. This patent became a mighty weapon that the Wright brothers used for the next thirteen years to sue the bejesus out of anyone else who tried to fly an airplane.
It may not have been a problem if the Wrights themselves had kept working on aircraft design, or if the original flyer had been good enough to license. But neither was the case - the Wrights became so consumed with their lawsuits that they had no time or energy left for further work, essentially becoming the SCO of the early aviation age. And their airplane design, while innovative, was mostly innovative in the wrong ways.