This is the best image I can get of it at the moment. But under magnification there is no evidence of the wing being taken off.
I took the information from here...
Cliff Presley Collection
Most collectors will argue that it is a Balloon Pilot badge... but it isn't. In August 1919 the Navy Department approved a change to the double wing naval aviation badge as follows:
The present gold pin with double wings based on the shield and anchor will be worn only on wash summer uniforms. The winter uniforms will carry a similar device of gold embroidery. Provision has been made by the new regulation which designates student naval aviators and flying mechanicians.
The student wears a pin similar to that of the graduate aviator, with the exception that one wing is removed leaving a device similar to that worn by observers abroad.
Regular members of seaplane flight crews among the enlisted men will wear a pin similar to that of the student naval aviator, except it shall be of silver. This change is made with the belief that there should be a distinctive insignia for the graduate and student naval aviators, and further, that the flying mechanician should also be entitled to wear some mark of distinction.
The information above is documented in the 30 August 1919 issue of the ARMY AND NAVY REGISTER, page 287."