Gyrations are operations on manifolds that first arose in geometric topology, and they connect to aspects of Fred's work on polyhedral products. A given manifold M may exhibit different gyrations depending on the chosen twisting, prompting the following natural question: do all gyrations of M share the same homotopy type regardless of which twisting we choose? Inspired by recent work of Duan, which demonstrated that the quaternionic projective plane is not gyration stable (but with respect to diffeomorphism) in this talk we will explore our question for projective planes in general, resulting in a complete description of gyration stability for the complex, quaternionic, and octonionic projective planes up to homotopy. This is joint work with Stephen Theriault.