Campana's conjecture on soft integral points of constellation curves

Let $(Y/\boldsymbol{\Delta})$ be a smooth projective Campana constellation supported by a firmament $\boldsymbol{\Gamma}$. Campana's conjecture. Points on $Y$ integral with respect to $\boldsymbol{\Gamma}$ are potentially dense if and only if $(Y/\boldsymbol{\Delta})$ is special. This predicts a specialness criterion for potential density of the integral points naturally associated with a Campana constellation; no resolution is given here.