Block equivalence conjecture for orthosymplectic supergroups

Let $m,n$ be natural numbers and fix a block ${\mathcal B}$ of atypicality $k$ in ${\mathcal F}(\operatorname{SOSP}(m|2n))$. Let $\mathbb{H}_k^\infty$ be the limiting graded diagram algebra for atypicality $k$, and let $\mathbb{I}$ be the subspace spanned by diagrams containing a non-propagating line. Block equivalence conjecture. The block ${\mathcal B}$ is equivalent to the category of finite-dimensional $\mathbb{H}_k^\infty/\mathbb{I}$-modules. In the fuller formulation, the equivalence sends each projective $P(\lambda)$ to the indecomposable projective module $P(\lambda^\circ)$ and each irreducible highest-weight module $L(\lambda)$ to $L(\lambda^\circ)$. This conjectural equivalence would give a diagrammatic description of every block of finite-dimensional representations of the orthosymplectic supergroup. The source provides no evidence of resolution.