Abreu–Diwan–Jackson–Labbate–Sheehan 3-edge-connected conjecture

Let $G$ be a 3-edge-connected 2-factor isomorphic cubic bipartite graph. Abreu–Diwan–Jackson–Labbate–Sheehan's conjecture. Then $G$ is a 2-factor Hamiltonian cubic bipartite graph. This is the proposed modification after the unrestricted equivalence was refuted; the survey does not report a resolution.