I want to use the Lunar Wings as an Elytra, so adding a dedicated animation for it and not have it overlap like it is now. I know you already display capes on the Elyta, but you could make it optional so the user can freely decide what they prefer.
tldr: Use the Wing cosmetic as Elytra symmilar to what BLC does with shields, only showing when equiped and an funktion for the animations of the elytra.