Fueter 2-category conjecture for holomorphic symplectic manifolds

Let $M$ be a holomorphic symplectic manifold with complex structure $I$ and holomorphic symplectic form $\Omega_I$. For $I$-holomorphic Lagrangian submanifolds $L_1,L_2\subset M$, consider the Fukaya–Seidel category of the holomorphic action functional on the infinite-dimensional space of paths between them. Fueter 2-category conjecture. The $I$-holomorphic Lagrangian submanifolds of $M$ should form a linear $2$-category whose morphism category $\operatorname{Hom}(L_1,L_2)$ is that Fukaya–Seidel category. This is the proposed categorical framework underlying holomorphic Floer theory; the source gives no resolution.