The maximal-length minimal zero-sum sequence conjecture

Let $G$ be a finite abelian group, and call a sequence over $G$ a minimal zero-sum sequence if its sum is zero and no nonempty proper subsum is zero. Write $\mathsf D(G)$ for the Davenport constant, the maximal length of a minimal zero-sum sequence over $G$. The maximal-length minimal zero-sum sequence conjecture. If $G$ is neither cyclic nor an elementary $2$-group, then for every minimal zero-sum sequence $U=g_1\ldots g_\ell$ with $|U|=\ell=\mathsf D(G)$, there exist $k\in\mathbb N$ and minimal zero-sum sequences $U_1,\ldots,U_k,V_1,\ldots,V_{k+1}$, whose terms belong to $\{g_1,\ldots,g_\ell,-g_1,\ldots,-g_\ell\}$, such that

$$U_1\ldots U_k=V_1\ldots V_{k+1}.$$

A positive answer gives a structural description of sets of lengths with maximal elasticity in transfer Krull monoids over finite abelian groups. The supplied text does not state whether this conjecture has been resolved.