Higher-dimensional unobstructedness conjecture for rigid tropical curves

Let $Q$ be a tropical abelian variety, and let $V\subset Q$ be a rigid tropical curve admitting a pair-of-pants decomposition. Higher-dimensional unobstructedness conjecture. Then $L_V$ is unobstructed by a bounding cochain. The conjecture proposes that the unobstructedness result proved in dimension three extends to tropical abelian varieties of arbitrary dimension, subject to the same rigidity and pair-of-pants hypotheses.