Conjecture that the Bernstein–Sato function of a free hyperplane arrangement is lattice-determined

Let $D$ be a free hyperplane arrangement, with defining polynomial $f_D$, and let $L(D)$ denote its intersection lattice. Write $b_{f_D}(s)$ for the Bernstein–Sato polynomial, or $b$-function, of $f_D$.

Lattice-determined $b$-function conjecture. The $b$-function of a free hyperplane arrangement is determined from its intersection lattice.

This conjecture proposes that, although general $b$-functions of hyperplane arrangements are not governed by the intersection lattice, the $b$-functions of free arrangements are. The source does not state whether the conjecture has been resolved.