I think this is an overly complicated way to think about this. The phenomenon you’re talking about is explained by this:
If you connect 2 cells together in parallel, with slightly different voltages, the act of connecting them together will force them to be at the same voltage. Energy will flow from the “more full” cell to the “less full cell”. If you leave the cells connect together, this will happen all the time.
This activity happens at the cell level, not the pack level. It’s not automatic nor magical. You must connect each cell in parallel to get this action. For you, this means, you must:
- splice each wire in the balance connector for 2 packs. This gives you a pair of 6s2p packs. Note, this is a 3 way splice, as you need a wire coming out to connect to the bms.
- Then join the 6s2p packs in series to get 12s2p. The power leads will have to be joined in series. The balance leads, kug3lis diagram is perfect.