Conjecture that local Rupertness is dual to reverse local Rupertness

Let $Q$ be a polyhedron and let $D$ be its dual. A polyhedron is locally Rupert if it has a local Rupert passage, and reverse locally Rupert if it has the corresponding reverse passage. Duality conjecture. A polyhedron $Q$ is locally Rupert if and only if its dual $D$ is reverse locally Rupert. This conjecture is motivated by the duality relationship proved in several cases in the paper and by prior observations relating Rupertness and reverse Rupertness under duality; its general validity remains open.