Equivalence conjecture for the intrinsic forms $\Phi_X$ and $\Psi_X$

Let $X$ be a projective complex manifold, and let $\Phi_X$ and $\Psi_X$ denote the intrinsic forms defined in the paper.

Equivalence conjecture for $\Phi_X$ and $\Psi_X$. There exists a nonzero constant $\alpha$ depending on $X$ such that

$$\alpha\Psi_X\leq\Phi_X\leq\Psi_X.$$

The preceding results establish positivity for these intrinsic forms on general-type manifolds away from a proper closed algebraic subset, but the source does not give a resolution of this equivalence statement.