Orbifold additivity conjecture C^{orb}_{n,m}

Let $g:(Y/H)\to Z$ be a prepared and high holomorphic fibration between manifolds, with $Y\in\mathcal C$. Let $\Delta(g,H)$ be its base orbifold, let $z\in Z$ be general, and write $(Y/H)_z=(Y_z/H_z)$ for the general orbifold fibre. Orbifold additivity conjecture $C^{\mathrm{orb}}_{n,m}$. One should have

$$\kappa(Y/H)\geq\kappa((Y/H)_z)+\kappa(Z/\Delta(g,H)).$$

This is the orbifold analogue of additivity for Kodaira dimensions; the source states it as a conjecture without giving a resolution.