Yeah it appears the balance plug wiring is not in the correct order, at least for any charger that I'm familiar with.

Correct that and the idea will sorta work. Drawback is less accurate cell voltage reading, as 2 of 3 balance leads will have the slight voltage drop across the main wires compared to the middle balance wire. Will likely cause a bit of unnecessary balancing and slightly longer charge times. Perhaps if not using high charge rates the difference will be minimal.