The generically ordinary conjecture for maximally generic Calabi–Yau mirror pairs

Let $d\leq 3$, and let $X$ and $Y$ be a maximally generic mirror pair of $d$-dimensional smooth projective Calabi–Yau schemes over the Witt ring $W(\mathbb{F}_q)$. A reduction is generically ordinary when its generic member is ordinary, meaning that its $p$-adic Newton polygon coincides with its Hodge polygon. Generically ordinary conjecture. Both reductions $X\otimes\mathbb{F}_q$ and $Y\otimes\mathbb{F}_q$ are generically ordinary. The conjecture is stated as a slightly stronger assertion implying the slope mirror conjecture in dimensions at most three. The source does not report a proof in this generality.