Zhang's prescribed-vertex complementary cycle conjecture for regular bipartite tournaments

Let $D$ be a $k$-regular bipartite tournament, where $k$ is an integer greater than $2$, and let $u$ and $v$ be two specified vertices of $D$. Let $F_{4k}$ and the other specified exceptional families be the digraphs excluded below. Zhang and collaborators' conjecture. If $D$ is isomorphic to neither $F_{4k}$ nor any of the other specified families of digraphs, then for every even $p$ satisfying

$$4\leq p\leq |V(D)|-4,$$

$D$ has a cycle $C$ of length $p$ such that $D\setminus C$ is hamiltonian, $C$ contains $u$, and $D\setminus C$ contains $v$. This conjecture prescribes one vertex on the selected cycle and another on its hamiltonian complement; its status is not resolved in the supplied source.