The asymptotic classification conjecture for simplicial arrangements

Let $\mathcal{A}$ be a simplicial arrangement in $\mathbb{C}^3$, and let its incidence mean the incidence structure between its hyperplanes and their intersections. Let $\mathcal{A}(2n,1)$ and $\mathcal{A}(4n+1,1)$ denote the arrangements in the stated infinite series, and let $G(e,1,3)$ denote an imprimitive complex reflection group.

Asymptotic classification conjecture. There exists an $N\in\mathbb{N}$ such that the incidence of every simplicial arrangement in $\mathbb{C}^3$ with more than $N$ hyperplanes is isomorphic to the incidence of $\mathcal{A}(2n,1)$, $\mathcal{A}(4n+1,1)$, or to the incidence of the imprimitive reflection groups $G(e,1,3)$ for some $e,n\in\mathbb{N}$.

This proposes an extension of Grünbaum's conjecture and would classify all sufficiently large simplicial arrangements in the complex projective plane by their incidence structures. The source presents it as a proposal; no resolution is supplied here.