Categorical Torelli conjecture for general ordinary Gushel–Mukai threefolds

Let $X$ be a general ordinary Gushel–Mukai (GM) threefold, let $J(X)$ be its intermediate Jacobian, and let $\mathcal{K}u(X)$ denote its Kuznetsov component.

Categorical Torelli conjecture. The intermediate Jacobian $J(X)$ determines the Kuznetsov component $\mathcal{K}u(X)$.

This is an equivalent reformulation of the Debarre–Iliev–Manivel conjecture for a general ordinary GM threefold. The paper states this reformulation after recalling that the corresponding categorical period-map result has been proved, but does not explicitly resolve the reformulated classical assertion here.