WPD conjecture for the cyclic splitting complex

Let $D53D$ be a finitely generated free group, let $D52CD66D61\operatorname{Out}(D53D)$ act on the cyclic splitting complex $D9D$. An element is loxodromic if it acts loxodromically on this complex, and the action satisfies WPD if every loxodromic element satisfies the WPD condition. WPD conjecture. The action of $\operatorname{Out}(D53D)$ on $D9D$ is a WPD action. That is, every loxodromic element for the action satisfies WPD. The result that centralizers of loxodromic elements of the cyclic splitting complex are virtually cyclic supports this conjecture, but the WPD property of the action remains open.