Schurian-finiteness conjecture for blocks of level 2 cyclotomic q-Schur algebras

Let $e$ be the quantum characteristic, let $\mathcal{S}_n$ be the level 2 cyclotomic $q$-Schur algebra, and let $B$ be a block of $\mathcal{S}_n$. Schurian-finiteness conjecture. For $e\geq 3$, $B$ is Schurian-infinite if and only if

$$\operatorname{def}(B)\geq 2.$$

This conjecture proposes the corresponding defect classification for blocks of level 2 cyclotomic $q$-Schur algebras. The supplied text gives no resolution status, so it remains open.