Combined injectivity conjecture for quandle homology operations on odd dihedral quandles

Let $R_k$ be an odd dihedral quandle, and let $(h_s)_*$ and $(h'_{(s,0)})_*$ be the induced operations

$$(h_s)_*:H_{n+1}^Q(R_k)\longrightarrow H_{n+3}^Q(R_k),$$ $$(h'_{(s,0)})_*:H_n^Q(R_k)\longrightarrow H_{n+3}^Q(R_k).$$

Here $h'_{(s,0)}=h'_0h_s$. Combined quandle injectivity conjecture. For odd $k$ and $n>1$, the map

$$(h_s)_*\oplus(h'_{(s,0)})_*:H_{n+1}^Q(R_k)\oplus H_n^Q(R_k)\longrightarrow H_{n+3}^Q(R_k)$$

is a monomorphism. Because the analogous composition involving two degree-one operations induces zero on homology, the source proposes this composition instead; the conjecture remains open.