Generalized Terao conjecture for d-arrangements

Let $\mathcal{C}_{1},\mathcal{C}_{2} \subset \mathbb{P}^{2}_{\mathbb{C}}$ be two $d$-arrangements for a fixed $d\geqslant 1$. Let $G_{1}$ and $G_{2}$ be their associated Levi graphs. Generalized Terao conjecture. If $G_{1}$ and $G_{2}$ are isomorphic and $\mathcal{C}_{1}$ is free, then $\mathcal{C}_{2}$ is also free.

This asks whether freeness of a $d$-arrangement is determined by the isomorphism class of its Levi graph, extending Terao's conjecture from line arrangements to arrangements of curves. The source presents it as a question, and no resolution is supplied here.