Quantum affine cube module conjecture for tridiagonal pairs of q-Racah type

Let $A,B$ be a tridiagonal pair over $\mathbb F$ having $q$-Racah type in the sense of Bockting-Conrad, and let $V$ be its underlying vector space. Let $\square_q$ denote the quantum affine cube algebra with generators $x_0,x_1,x_2,x_3$. Quantum affine cube module conjecture. The vector space $V$ becomes a $\square_q$-module such that $A$ is a linear combination of $x_0,x_1$, $B$ is a linear combination of $x_2,x_3$, and the resulting $\square_q$-module $V$ is irreducible. This conjecture seeks an algebraic realization of every tridiagonal pair of $q$-Racah type; the supplied text gives no evidence that it has been resolved.