Almeida's disconnected living-subgraph conjecture for Artin groups

Let $A_\Gamma$ be an Artin group and let $\chi:A_\Gamma\to\mathbb{R}$ be a character. Let $\mathrm{Liv}^\chi$ denote the living subgraph associated to $\chi$, and let $\Sigma^1(A_\Gamma)$ be the first Bieri-Neumann-Strebel invariant. Almeida's conjecture.

$$\mathrm{Liv}^\chi\text{ is disconnected }\Rightarrow[\chi]\notin\Sigma^1(A_\Gamma).$$

Together with the known implications recalled from Meier's proposition, this is equivalent to the full $\Sigma^1$-conjecture stated earlier. The source says the problem was explicitly formulated as a conjecture in 2018 and does not report a general resolution.