The wrapped Fukaya interpretation of hypertoric universal deformations

Let $\mathcal{V}$ be a polarized arrangement, not necessarily rational, with associated affine complexification $(V+\eta)_{\mathbb{C}}$ and complexified hyperplane arrangement $\mathcal{H}_{\mathcal{V}}$. Let $\Delta_{\alpha}$ be the regions indexed by $\alpha\in\mathcal{P}$, and let $\widetilde{B}(\mathcal{V})$ be the universal deformation algebra. Wrapped Fukaya interpretation conjecture. The algebra $\widetilde{B}(\mathcal{V})$ is the homology of the endomorphism algebra of the interiors of the regions $\Delta_{\alpha}$, for $\alpha\in\mathcal{P}$, in a suitably defined wrapped Fukaya category of

$$(V+\eta)_{\mathbb{C}}\setminus\mathcal{H}_{\mathcal{V}}.$$

This conjecture extends the expected Fukaya interpretation of the hypertoric algebra beyond the rational case and formulates it directly using hyperplane-arrangement data. The suitably defined wrapped Fukaya category is not specified here, so the categorical realization remains open.