Uniform affine crystal structure conjecture for rigged configurations

Let $\mathfrak{g}$ be of affine type other than $A_n^{(1)}$. Let $N_0$ and $\kappa$ be as in the source, and let $(c_a)_{a\in I}$ and $(t_a)_{a\in I}$ be the Kac-label data and associated parameters. For a rigged configuration $(\nu,J)\in\operatorname{RC}(B^{N_0,\kappa s})$, let $\nu^{(a)}$ denote its partition at node $a$. Uniform affine rigged-configuration conjecture. For every $a\in I_0$, the partition $\nu^{(a)}$ is contained in a $(c_a/t_a)\times(2t_as)$ rectangle, and the $U_q'(\mathfrak{g})$-crystal structure is given by the operators in the stated definition. This proposes a uniform construction of the affine crystal structure beyond the established level-one case.