Refined powered-Catalan conjecture for 23-1-4-avoiding permutations

For $n\geq 1$, let $AV_n(23\text{-}1\text{-}4)$ be the permutations of length $n$ avoiding the generalized pattern $23\text{-}1\text{-}4$, and let $k$ be the number of right-to-left minima. Let $c_{n,k}$ be the numbers defined by the recurrence in Equation. Refined powered-Catalan conjecture. The number of permutations in $AV_n(23\text{-}1\text{-}4)$ with $k$ right-to-left minima is $c_{n,k}$. This refines the preceding equinumerosity conjecture by predicting the distribution according to right-to-left minima, but the source does not state whether it has been resolved.