I understand that regardless of uniform, the wings worn are the ones belonging to the service in which they were awarded. Army for Prince Harry, RAF for Prince William and RN for Prince Andrew.
I believe that the various members of the Royal Family were awarded wings as per the annotations below.
Duke of Edinburgh - RAF
Prince Charles- RAF
Prince Andrew - RN
Prince William - RAF
Prince Henry - Army
Duke of Kent - ??? (With whom and when?)
Prince Michael of Kent - ??? (With whom and when?)
How does the above quote stand in light of the following images showing...
Prince Phillip with Army and RN wings,
Prince Charles with RN and Army wings,
Prince Andrew with RAF and Army wings,
Duke of Kent with RAF and no wings, and
Prince Michael of Kent with RAF, Army and RN wings?
.