Kuznetsov–Perry's birational categorical Torelli conjecture for GM varieties

Let $X$ and $X'$ be GM varieties of the same dimension. The Kuznetsov–Perry conjecture. If there exists an equivalence

$$\mathcal{K}u(X)\simeq\mathcal{K}u(X'),$$

then $X$ and $X'$ are birationally equivalent. This conjecture asks whether the Kuznetsov component determines the birational isomorphism class of a Gushel–Mukai variety; its status is not resolved in the supplied source.