The cohomology algebra conjecture for oriented right-angled Artin groups

Let $\Gamma$ be a special graph, let $G_\Gamma$ be its associated oriented right-angled Artin group, and let $\mathbb F_2(\Gamma)$ be the quadratic $\mathbb F_2$-algebra generated by the vertices of $\Gamma$ subject to the defining relations associated with the graph. Cohomology algebra conjecture. The cohomology ring with coefficients in $\mathbb F_2$ of $G_\Gamma$ is isomorphic to $\mathbb F_2(\Gamma)$:

$$H^\bullet(G_\Gamma,\mathbb F_2)\cong \mathbb F_2(\Gamma).$$

The algebra agrees with the usual graph algebra for non-oriented right-angled Artin groups and is proposed as a candidate for the cohomology of the groups associated with special graphs. The source does not provide evidence resolving the assertion in general.