Palindromicity conjecture for recurrence polynomials

Let $v$ be a vertex in a classified $T$-system outside the tensor-product case with finite factor of type $A_m$, $D_{2m+1}$, or $E_6$, and let $J_v(z)$ be its recurrence polynomial. The palindromicity conjecture. The recurrence polynomial $J_v(z)$ is palindromic. This is the complementary case to the Dynkin-involution reciprocity conjecture and is not resolved in the source.