Pure-point diffraction conjecture for visible points of irreducible cut-and-project sets

Let $d\geq 2$ and let $\Lambda=\Lambda(\mathcal{W},\mathcal{L})\subset\mathbb{R}^d$ be an irreducible cut-and-project set. Let $\mathcal{A}\subset\mathbb{R}^d$ be a van Hove sequence, and suppose that the density of the visible points $\Lambda_{\mathrm{vis}}$ along $\mathcal{A}$ exists and is positive. Pure-point diffraction conjecture for visible points. The diffraction spectrum

$$\widehat{\gamma_{\Lambda_{\mathrm{vis}}}}$$

is a translation bounded pure point measure. This would extend the almost-everywhere result for random cut-and-project sets to every irreducible cut-and-project set satisfying the stated positive-density hypothesis. The conjecture concerns the diffraction of visible points and remains open in the generality stated.