Conjectural classification of purely nonprincipal Morita classes with defect group $(C_2)^6$

Let $D=(C_2)^6$ and consider purely nonprincipal blocks with defect group $D$. For each group in the following list, there is one relevant Morita equivalence class of nonprincipal blocks: $((C_2)^4\rtimes 3^{1+2}_+)\times(C_2)^2$, $((C_2)^4\rtimes 3^{1+2}_+)\times A_4$, $((C_2)^4\rtimes 3^{1+2}_+)\times A_5$, $((C_2)^5\rtimes(C_7\rtimes3^{1+2}_+))\times C_2$, $((\operatorname{SL}_2(8)\times(C_2)^2)\rtimes3^{1+2}_+)\times C_2$, $(C_2)^6\rtimes(C_7\rtimes3^{1+2}_+)_2$, $(C_2)^6\rtimes(C_5\times3^{1+2}_+)$, $(C_2)^6\rtimes7^{1+2}_+$, $(C_2)^6\rtimes3^{1+2}_+$, $(C_2)^6\rtimes((C_3)^2\rtimes3^{1+2}_+)$, the two classes labelled $b_1$ and $b_2$ for $(C_2)^6\rtimes\operatorname{SmallGroup}(729,122)$, $(C_2)^6\rtimes\operatorname{SmallGroup}(1029,12)$, $(C_2)^6\rtimes((C_7\times C_7)\rtimes3^{1+2}_+)$, and $\operatorname{SL}_2(8)^2\rtimes3^{1+2}_+$. Purely nonprincipal classification conjecture. The purely nonprincipal Morita equivalence classes of blocks with defect group $(C_2)^6$ are exactly these classes, and every block of a finite group with defect group $(C_2)^6$ is Morita equivalent either to one listed above or to a block in the list of Theorem 1.1. The source proposes this as a conjectural complete classification; it remains open.