Completeness conjecture for orthogonal orbifold coincidences

For $n\geq2$ and $m\geq3$, let $\mathcal F_k(n)$ denote the simple quotient of the symplectic minimal coset family, and let $\mathcal W_\ell(\mathfrak{so}_{2m},f_{\mathrm{prin}})^{\mathbb Z_2}$ be the $\mathbb Z_2$-orbifold of the principal orthogonal $\mathcal W$-algebra. Exclude the critical values $k=-(n+1)$, $k=-n-1/2$, and $\ell=-(2m-2)$, together with the degenerate cases specified by the source's coincidence theorem. Completeness conjecture. Every remaining isomorphism $\mathcal F_k(n)\cong\mathcal W_\ell(\mathfrak{so}_{2m},f_{\mathrm{prin}})^{\mathbb Z_2}$ occurs in one of the three explicitly listed parameter families, with $m\neq n+1$ required in the third family. The first family is stated to be rational whenever $n\geq m-1$. This is a proposed exhaustive classification conditional on the truncation-curve conjecture; the source gives no resolution evidence.