Linear-type conjecture for Jacobian ideals of central hyperplane arrangements

Let $\mathbb K$ be a field with $\operatorname{char}(\mathbb K)\nmid m$, let $R=\mathbb K[x_1,\ldots,x_n]$, and let $f\in R$ be the defining polynomial of a central hyperplane arrangement of size $m\geq n$. Linear-type conjecture. The Jacobian ideal $J_f$ is of linear type. The claim is presented as a belief that a preceding theorem should hold without genericity restrictions; its status is unresolved in the supplied text.