Baker–Moore conjecture on tangle decompositions of L-space knots

Let $K$ be a knot in $S^3$. An essential tangle decomposition is an essential $n$–string tangle decomposition for some integer $n$, meaning that there is a $2$–sphere intersecting $K$ transversely in $2n$ points whose complement in the knot exterior is essential. Baker–Moore conjecture. Any L-space knot has no essential tangle decomposition. The conjecture generalizes the Lidman–Moore assertion for essential $2$–string tangle decompositions; the supplied source gives no resolution status.