Extension of the vector-representation identification to twisted face weights

Let ${\bf g}$ be one of the twisted affine Lie algebra types $A_{2n}^{(2)}$ or $A_{2n-1}^{(2)}$, or let the type be $G_2^{(1)}$. Let ${\cal R}(\lambda)$ denote the universal dynamical $R$ matrix, and let the corresponding face-type elliptic solutions be Kuniba's solutions for $A_{2n}^{(2)}$ and $A_{2n-1}^{(2)}$, and Kuniba–Suzuki's solution for $G_2^{(1)}$. Twisted vector-representation conjecture. A statement analogous to the theorem identifying the vector representation of ${\cal R}(\lambda)$ with Jimbo–Miwa–Okado's elliptic solutions is true for Kuniba's solutions of types $A_{2n}^{(2)}$ and $A_{2n-1}^{(2)}$, and for Kuniba–Suzuki's solution of type $G_2^{(1)}$. The claim is motivated by the common $2\times2$ block structure of the relevant $R$ matrices, but the supplied text gives no proof or resolution.