The circular fence poset block-statistic conjecture

Let $P$ be a circular fence poset of size $n$, let $S_n(P)$ denote the relevant set of permutations, and let $\widehat{bl}_P(\sigma)$ be the block statistic introduced for circular fence posets. Here $\Omega(P;t)$ is the order polynomial of $P$. Circular fence block-statistic conjecture. For every circular fence poset $P$ of size $n$,

$$n! \, \Omega(P;t)=\sum_{\sigma\in S_n(P)}t^{\widehat{bl}_P(\sigma)}.$$

This conjecture seeks a combinatorial interpretation of the coefficients of the order polynomial for circular fence posets, parallel to the established formula for ordinary fence posets. Its status is not specified in the source.