The bunkbed conjecture for transitive tournaments

Let $T_n$ be the transitive tournament on $n$ vertices, and let $\operatorname{BBC}(E_7,T_n)$ denote the bunkbed conjecture in the $E_7$ model for $T_n$.

The bunkbed conjecture for transitive tournaments. The statement

$$\operatorname{BBC}(E_7,T_n)$$

holds for $T_n$.

The conjecture concerns whether the bunkbed inequality remains valid in the $E_7$ directed-graph model for this acyclic family. The supplied text does not state whether it has been resolved.