Strong inversion conjecture for L-space knots

Let $K$ be an L-space knot, meaning a knot for which $S^3_n(K)$ is an L-space for some $n>0$. A strong inversion is an involution of the ambient $3$-manifold preserving the knot while reversing its orientation and whose fixed set meets the knot in two points. Strong inversion conjecture. Every L-space knot admits a strong inversion. This is one of two conjectures suggested as potentially useful for understanding the botany problem for L-space knots, and remains open in the source.