Superabundance and non-wide Lagrangian lift conjecture

Let $V$ be a smooth tropical curve, and let $L_V$ be its Lagrangian lift. The curve is superabundant when its deformation space has higher dimension than the expected deformation dimension of its $B$-realization. The lift is wide when its Floer cohomology has the same dimension as its ordinary cohomology.

Superabundance and non-wide conjecture. The tropical curve $V$ is superabundant if and only if its Lagrangian lift $L_V$ is not wide.

This conjecture seeks to identify excess tropical deformation dimensions with the failure of Floer-theoretic wideness. The source presents it as an open prediction motivated by the preceding deformation-space comparison.