Intersection Conjecture for parabolic subgroups of Artin groups

Let $A_\Gamma$ be an Artin group, and let a parabolic subgroup mean a conjugate of a subgroup generated by a subgraph of the presentation graph. Intersection Conjecture. The intersection of any two parabolic subgroups in $A_\Gamma$ is again a parabolic subgroup. Intersections of parabolic subgroups arise naturally when studying visual splittings and weak malnormality. The conjecture has been proved for several families of Artin groups but remains open in general.