The Super KSh conjecture for simple modular Lie superalgebras in characteristic greater than 5

Let $p>5$ and let $\mathbb{K}$ be an algebraically closed field of characteristic $p$. Consider the simple complex Lie superalgebras $\mathfrak{g}$ of the types listed in (1), and apply the KSh procedure to them.

Super KSh conjecture. The examples obtained by applying the KSh procedure exhaust all simple finite dimensional Lie superalgebras over algebraically closed fields of characteristic $p>5$.

This conjecture proposes a classification of simple finite dimensional modular Lie superalgebras in characteristics greater than $5$ by transferring the KSh construction from the listed complex simple Lie superalgebras. The source gives no resolution, so its status remains open.