Rowmotion order conjecture for V(n)

Let $V(n)$ be the poset in the source, let $r(P)$ denote the rank of a poset $P$, let $\operatorname{Row}$ denote rowmotion, and let $\delta$ denote the involution used in the source. Rowmotion order conjecture for $V(n)$. For $P=V(n)$,

$$\operatorname{Row}^{r(P)+2}=\delta.$$

The source identifies $V(n)$ as the only other poset with apparently good piecewise-linear rowmotion behavior and gives no resolution of this conjecture.