Compact DV representations for GIRS matrices

Let $(A,\mathbb{G})$ be a GIRS-$c$ pair, and let $\mathbb{V}_\mathbb{G}$ denote the vertex set of $\mathbb{G}$. A DV representation is a representation with rank parameters $r_i$ indexed by the vertices. Compact DV representation conjecture. If $(A,\mathbb{G})$ is GIRS-$c$, then $(A,\mathbb{G})$ possesses a DV representation with

$$r_i\leq 2c$$

for every $i\in\mathbb{V}_\mathbb{G}$. The preceding discussion motivates compact representations, but the source gives no evidence that this conjecture has been resolved.