Mirror P=W conjecture for mirror log Calabi–Yau varieties

Let $U$ and $U^\vee$ be mirror $n$-dimensional log Calabi–Yau varieties. For a nonsingular quasi-projective variety $V$, let

$$PW_V(u,t,w,p)=\sum_{a,b,r,s}\left(\dim \operatorname{Gr}_F^a\operatorname{Gr}_{s+b}^W\operatorname{Gr}_{s+r}^P\bigl(H^s(V,\mathbb C)\bigr)\right)u^at^sw^bp^r$$

be its perverse-mixed Hodge polynomial. Mirror P=W conjecture. If $U$ and $U^\vee$ are mirror to each other, then

$$PW_U(u^{-1}t^{-2},t,p,w)u^nt^n=PW_{U^\vee}(u,t,w,p).$$

This conjecture predicts a mirror-symmetry relation between the perverse and mixed Hodge-theoretic refinements of the cohomology of mirror log Calabi–Yau varieties. The supplied text does not indicate whether the conjecture has been proved or disproved.