Grid realization conjecture for Legendrian knots in universally tight lens spaces

Let $K\subset L(p,q)$ be a knot and let $m(K)\subset L(p,p-q)$ denote its mirror. Consider Legendrian representatives of these knots in the universally tight contact structures on the respective lens spaces. Grid realization conjecture. Given any such pair of Legendrian representatives, there exists a grid diagram that gives rise to the pair of Legendrian knots.

This conjecture asserts that the grid-diagram construction is sufficiently comprehensive to realize arbitrary Legendrian representatives of a knot and its mirror in universally tight lens spaces. Its status is not specified in the source.