Crepant categorical-resolution conjecture for Clifford double mirrors

Let the Clifford double mirror of Definition be the Clifford construction associated with the two quartics $\mathbb{Q}_+$ and $\mathbb{Q}_-$ in $\mathbb{C}\mathbb{P}^3$. The corresponding $\mathbb{Z}_2\times\mathbb{Z}_2$ Galois cover is ramified at these two quartics. Clifford double-mirror categorical-resolution conjecture. The Clifford double mirror is a crepant categorical resolution of this Galois cover. This conjecture identifies the Clifford double mirror with a categorical resolution of the generally singular geometric double cover, providing the expected geometric interpretation of the construction.