End-curve characterization conjecture for splice quotients

Let $(Y,0)$ be a normal surface singularity with rational homology sphere link, and let $tilde{Y}$ be its minimal good resolution. An end-curve function for an end-curve is a function having the zero-locus property described in the source's proposition: its proper transform consists of one smooth irreducible curve meeting that end-curve transversally at one point and no other exceptional curve. End-curve characterization conjecture. If every end-curve on $tilde{Y}$ has an end-curve function, then $Y$ is a splice quotient.

The conjecture aims to extend the known characterization for singularities with integral homology sphere links. The source explicitly says it was still open at the time, while noting that the rational and minimally elliptic cases had subsequently been proved.