  To a simple polarized hyperplane arrangement (not necessarily cyclic)
$\mathbb{V}$, one can associate a stopped Liouville manifold (equivalently, a
Liouville sector) $\left(M(\mathbb{V}),\xi\right)$, where $M(\mathbb{V})$ is
the complement of finitely many hyperplanes in $\mathbb{C}^d$, obtained as the
complexifications of the real hyperplanes in $\mathbb{V}$. The Liouville
structure on $M(\mathbb{V})$ comes from a very affine embedding, and the stop
$\xi$ is determined by the polarization. In this article, we study the
symplectic topology of $\left(M(\mathbb{V}),\xi\right)$. In particular, we
prove that their partially wrapped Fukaya categories are generated by
Lagrangian submanifolds associated to the bounded and feasible chambers of
$\mathbb{V}$. A computation of the Fukaya $A_\infty$-algebra of these
Lagrangians then enables us to identity these wrapped Fukaya categories with
the $\mathbb{G}_m^d$-equivariant hypertoric convolution algebras
$\widetilde{B}(\mathbb{V})$ associated to $\mathbb{V}$. This confirms a
conjecture of Lauda-Licata-Manion (arXiv:2009.03981) and provides evidence for
the general conjecture of Lekili-Segal (arXiv:2304.10969) on the equivariant
Fukaya categories of symplectic manifolds with Hamiltonian torus actions.
