Orbifold KKP conjecture for nef-anticanonical orbifolds

Let $X$ be an orbifold with nef anticanonical divisor, and let $(\check{U},w)$ be a homological mirror Landau–Ginzburg model to $X$. For $p,q\in\mathbb{Z}$, let $h^{p,q}_{\mathrm{orb}}(X)$ and $f^{p,q}_{\mathrm{orb}}(\check{U},w)$ denote the corresponding orbifold Hodge and irregular Hodge numbers.

Orbifold KKP conjecture. One should have

$$h^{p,q}_{\mathrm{orb}}(X)=f^{d-p,q}_{\mathrm{orb}}(\check{U},w).$$

This is the orbifold generalization of the Katzarkov–Kontsevich–Pantev conjecture, extending the expected Hodge-number correspondence to varieties with orbifold singularities and nef anticanonical divisor. The source presents it as a conjecture following its discussion of the ordinary KKP relation.