The zonotopal shifted Lonely Runner Conjecture

Let $Z_{\mathbf v}$ be a Strong Lonely Runner Zonotope, meaning a Lonely Runner Zonotope associated with a velocity vector $\mathbf v=(v_1,\dotsc,v_n)\in\mathbb{Z}_{>0}^n$ whose entries are pairwise distinct. Zonotopal shifted Lonely Runner Conjecture. Every Strong Lonely Runner Zonotope of dimension $n-1$ satisfies

$$\mu(Z_{\mathbf v})\leq\frac{n-1}{n+1},$$

where $\mu$ denotes the covering radius with respect to $\mathbb{Z}^{n-1}$. This is the covering-radius reformulation of the shifted Lonely Runner Conjecture and is stronger than the corresponding centered lattice-point assertion. Its general validity remains open.