The Gorenstein splice-type conjecture for homology-sphere links

Let $(X,o)$ be a Gorenstein surface singularity with integral homology sphere link, and let its splice diagram encode the topology of the link. Gorenstein splice-type conjecture. $X$ is a complete intersection of splice type.

This claim would say that the topology of the link determines the analytic structure up to equisingularity in the Gorenstein setting. The paper gives counterexamples to this statement in general, including a Gorenstein singularity with link the Brieskorn sphere $\Sigma(2,13,31)$ that is not of splice type.