Golla–Lisca conjecture on universal tightness of contact torus bundles

Let $D$ be a circular spherical divisor, meaning a topological divisor consisting of a cycle of spheres, and let $b^+(D)$ denote the positive index of its intersection form. The associated contact torus bundle is denoted $(-Y_D,\xi_D)$. Golla–Lisca conjecture. If

$$b^+(D)=1$$

and $(-Y_D,\xi_D)$ is symplectically fillable, then $(-Y_D,\xi_D)$ is universally tight. This conjecture concerns universal tightness for contact torus bundles arising as boundaries of plumbings of circular spherical divisors; the supplied source does not state whether it has been resolved.