Legendrian representative conjecture for knots in lens spaces with 3-sphere surgeries

Let $L(p,q)$ be a lens space with universally tight contact structure $\xi_{UT}$, and let $K\subset L(p,q)$ be a knot admitting a surgery to the 3-sphere. A Legendrian representative of $K$ is a Legendrian knot $L\subset (L(p,q),\xi_{UT})$ representing $K$. Legendrian nonvanishing conjecture. Every such knot has a Legendrian representative $L$ satisfying

$$\widehat{\lambda}^+(L),\widehat{\lambda}^-(L)\ne 0.$$

The conjecture proposes that the Legendrian GRID invariants can detect knots in lens spaces admitting surgery to the 3-sphere, a class related by duality to the Berge conjecture and simple knots. Its status is not specified in the source.