Biran and Cornea's Lagrangian suspension conjecture

Let $(W;L_0,L_1)$ be an exact Lagrangian cobordism, and let a Lagrangian suspension denote the suspension associated to a Hamiltonian isotopy. Biran and Cornea's conjecture. Any exact Lagrangian cobordism is Hamiltonian isotopic to a Lagrangian suspension. This conjecture concerns the rigidity of exact Lagrangian cobordisms and asks whether every such cobordism can be obtained from a Hamiltonian isotopy; the source provides no resolution.