Givental-type mirror conjecture for general-type LG singularities

Let $W$ be a nondegenerate quasihomogeneous singularity of general type. Let $I_{\rm FJRW}^{\rm sm}(t,z)$ be the small FJRW $I$-function, let $\tau(t)$ be determined by the coefficient of $z^0$ in that function, and let $J(\mathbf t,z)$ be the FJRW $J$-function. Givental-type mirror conjecture. One has

$$I_{\rm FJRW}^{\rm sm}(t,-z)=tJ(\tau(t),-z).$$

This identifies the small FJRW $I$-function with the $J$-function along the mirror map and is presented as conjectural in the source.