The Bernstein–Sato root conjecture for indecomposable arrangements

Let $\mathscr{A}$ be an indecomposable central hyperplane arrangement with $d$ planes in $n$-space, and let $b_{\mathscr{A}}(s)$ be its Bernstein–Sato polynomial.

Arrangement Bernstein–Sato conjecture.

$$b_{\mathscr{A}}(-n/d)=0.$$

Budur, Mustaţă and Teitler show that the monodromy conjecture holds for arrangements and that proving this assertion would suffice for the strong monodromy conjecture. The source presents the assertion as the remaining conjecture, with no resolution evidence.