Realizability of internal divisors on smooth tropicalizations

Let $\Gamma$ be a smooth tropicalization of an algebraic curve $C$. An internal divisor is a divisor lying in a cell $\sigma$ of $|\mathcal{D}_{\Gamma}|$ parametrizing divisors with $k$ chips on vertices, where $\Gamma$ has genus $g$ and $\dim\sigma=d-g-k$. Internal-divisor realizability conjecture. Every internal divisor on $\Gamma$ is $C$-realizable. This conjecture generalizes the genus-one results of the paper to tropical curves of arbitrary genus; in genus $1$, the definition of internal coincides with the original definition. Its resolution is not established in the supplied text.