Dolgachev's Torelli conjecture for logarithmic bundles of hyperplane arrangements

Let $\mathcal{H}=\{H_{1},\ldots,H_{\ell}\}$ be an arrangement of $\ell\geq n+2$ hyperplanes on $\mathbf{P}^{n}$. Assume that the logarithmic bundle $\widetilde{\Omega}_{\mathbf{P}^{n}}^{1}(\log\mathcal{H})$ is Gieseker-semistable, meaning that its reduced Hilbert polynomial is not smaller than that of any proper coherent subsheaf of positive rank. A stable normal rational curve of degree $n$ in $\mathbf{P}^{n}$ is a connected arithmetic-genus-zero curve whose irreducible components are smooth rational curves of degrees $d_i$ spanning $\mathbf{P}^{d_i}$, with $\sum_i d_i=n$, and whose component spans together span $\mathbf{P}^{n}$. Dolgachev's Torelli conjecture. The arrangement $\mathcal{H}$ is a Torelli arrangement if and only if the hyperplanes $H_{1},\ldots,H_{\ell}$ do not osculate a stable normal rational curve of degree $n$ in $\mathbf{P}^{n}$. This gives a geometric criterion for whether the arrangement can be recovered from its logarithmic bundle; the source attributes the statement to Dolgachev (2007), but the supplied material gives no evidence that it has been proved or disproved.