I think that the change is not permanent and that the tiara can be worn either way. In the pictures on the Alexandria Royal Jewelry Museum's website there's a little tool shown with the tiara.




I wonder if the version with the drops facing down was meant to be worn as a corsage ornament. The tiara looks like it is flexible with the joints in the swirls on the sides.



Royal Jewelry Museum: Set of Princess Shivakiar