Kuznetsov's Fano threefold conjecture on Kuznetsov components

Let $\mathcal{MF}^i_d$ be the moduli spaces of prime Fano threefolds of index $i$ and degree $d$. A correspondence conjecture. There is a correspondence $Z_d\subset\mathcal{MF}^2_d\times\mathcal{MF}^1_{4d+2}$ which is dominant over each factor and such that for any point $(Y_d,X_{4d+2})\in Z_d$ there is an equivalence of categories

$$\mathcal{K}u(X_{4d+2})\cong\mathcal{K}u(Y_d).$$

This conjecture predicts a relationship between the Kuznetsov components of prime Fano threefolds of index one and index two, with the moduli correspondence dominant over both families. The source provides no resolution status, so it remains open.