Fields conjecture on the symmetric-group module structure of the superspace coinvariant ring

Let $\Omega_n$ be the superspace ring with diagonal $\mathfrak{S}_n$-action, let $SR_n=\Omega_n/SI_n$ be its superspace coinvariant ring, and let $\mathbb{F}[\mathcal{OP}_n]$ be the permutation module on ordered set partitions of $[n]$. Let $\operatorname{sign}$ denote the one-dimensional sign representation of $\mathfrak{S}_n$. Fields conjecture on the module structure. There is an isomorphism of ungraded $\mathfrak{S}_n$-modules

$$SR_n\cong_{\mathfrak{S}_n}\mathbb{F}[\mathcal{OP}_n]\otimes_{\mathbb{F}}\operatorname{sign}.$$

This is one of the Fields Conjectures, asserting that the ungraded representation carried by the superspace coinvariant ring is modeled by ordered set partitions, with a sign twist. The supplied text gives no resolution status.