i'm using XT60's with an eight motor heli running at 14 pounds.
power is volts X amps, you only halve the amps if you double the volts which would be the case if you're going from 3S to 6S packs. bigger cell count packs with higher voltages run at lower amps (typically, unless you're running monster heli's and if that's the case then you'd better know what you're doing!!

) so wiring and connectors can stay small saving weight. when i switched to 6S packs from 4S packs I actually reduced wire sizes and went from 40A ESC's to 30A ESC's.
If there's an max amp rating associated with a connector or electrical device you have to know what the corresponding voltage is for the rating or it doesn't really mean anything as it's the total power being transferred that establishes a limit on something and the limit is basically how mush heat it can take without its performance degrading. with wire, for example, the current/voltage limits are going to prevent the wire from heating up which causes resistance of the wire to increase which creates higher voltage drop across the length you're using. abuse the limit too much and the wire can melt or desolder from components.
someone please correct me if I'm wrong but this is how i've come to understand this stuff.
for example, to size wires correctly you have to look at the limits on how much current can be passed for a given size and length of wire but the rating has to also correspond to the voltage you're running. With 6S packs running at 22.2 volts there are 24 volt wire sizing charts that provide the info. For 3S or 4S packs there are 12V charts but since 4S is 14.8 volts you just have to be more conservative than the charts to be able to use them. the connector should be suitable for the size wire you're using, it doesn't make sense to use a 5mm connector with 16 awg wire.
keep in mind also that big connectors weigh more than small connectors and weight matters in every decision you make for you gear so don't use big connectors just because you think you have to for big batteries. take the time to understand what's happening and make smart decisions.
