Quadratic curvature blow-up conjecture for Ricci-flat manifolds

Let $M^n$ be a Ricci-flat manifold, and let $\alpha$ be the exponent appearing in Corollary. Quadratic curvature blow-up conjecture. $\alpha$ in Corollary can be chosen to be $1$. A similar statement should hold for general Einstein manifolds. An affirmative answer would imply regularity and uniqueness properties for tangent cones, including that if an open Ricci-flat manifold with Euclidean volume growth has one smooth tangent cone at infinity, then all tangent cones at infinity are smooth.