The domain conjecture for irreducible Artin groups modulo their centers

Let $A$ be an irreducible Artin group, and let $Z(A)$ denote its center. A group is a domain if for every $x,y\in A$ with $x,y\neq e$, there is $g\in A$ such that $[x,y^g]\neq e$.

Domain conjecture. Every quotient $A/Z(A)$ is a domain.

Being a domain requires indecomposability and trivial center, so this conjecture asserts that these are the only obstructions for irreducible Artin groups. The source notes that the claim is known in several classes, including irreducible spherical Artin groups after quotienting by their centers, but the general statement remains open.