Unique construction of general ramified irregular vertex operators

Let $\Phi^{\Delta}_{\Lambda,\Lambda}(\alpha,\beta,c_{\emptyset};z)$ be a ramified irregular vertex operator with expansion coefficients $c_{\lambda}^{(m)}$, and let $\Phi^{\Delta_{p,q},i}_{\Lambda,\Lambda}(z)$, $i=1,\ldots,pq$, denote the singular operators associated with the parameter sets in the preceding conjecture. Ramified vertex-operator uniqueness conjecture. The operator exists uniquely, with each $c_{\lambda}^{(m)}$ polynomial in $c$, $\Delta$, $\beta_{2r-1}$, $\Lambda_r,\ldots,\Lambda_{2r-1}$ and $\Lambda_{2r-1}^{-1}$; when $\beta_{2r-1}=\beta_{2r-1}^{p,q,i}$ and $\Delta=\Delta_{p,q}$, it equals $\Phi^{\Delta_{p,q},i}_{\Lambda,\Lambda}(z)$. The source gives this as a conjecture and does not report a resolution.