Non-symmetric ribbon conjecture for the family \mathcal{B}$R,S,T$

Let $\mathcal{B}(R,S,T)$ be the ribbon-knot family considered in the paper, with parameters $R,S,T$. A ribbon is respected when a transformation to a symmetric union preserves that specified ribbon. The knots $\mathcal{B}(0,0,T)$ are composite ribbon knots, and the paper identifies the knots 11a103, 11a165, 11a201, 12n62, and 12n66 among this family. Non-symmetric ribbon conjecture for $\mathcal{B}(R,S,T)$. The composite knots $\mathcal{B}(0,0,T)$ are non-symmetric ribbon knots; in particular, the knots 11a103, 11a165, 11a201, 12n62, and 12n66 are non-symmetric ribbon knots. Moreover, no knot $\mathcal{B}(R,S,T)$ can be transformed to a symmetric union respecting its ribbon. The authors state that they are less confident in this conjecture than in the determinant-$9$ cases, and the assertions remain open.