Suciu's Chen-rank formula conjecture from resonance

Let ${\mathcal{A}}$ be a hyperplane arrangement, let $G=G({\mathcal{A}})$ be its arrangement group, and let $R^{1}({\mathcal{A}})$ be its first resonance variety. For each $r$, let $h_r$ be the number of components of $R^{1}({\mathcal{A}})$ of dimension $r$. The Chen ranks are defined by

$$\theta_k(G):=\phi_k(G/G”),$$

where $G'=[G,G]$ and $G”=[G',G']$. Suciu's conjecture. For $k\gg 0$,

$$\theta_k(G)= (k-1) \sum_{r\ge 1} h_r \binom{r+k-1}{k}.$$

The conjecture relates the asymptotic Chen ranks of an arrangement group to the dimensions and multiplicities of the components of its first resonance variety. The source does not state a resolution.