REALLY? Hooking the wires up wrong? I ruled that out. I mean, I understand it can happen and all, but I didn't think that would be the reason. I was expecting a complicated ordeal of formulas regarding rate of discharge of the battery vs. power consumption or something.
I think I'll save myself the space (and time looking for the component) and just get rid of it... I'll be damned if I end up connecting a JST plug the wrong way.