Battery connector and wire ampacity
There are a lot of factors to take into account when dealing with power transfer and heat dissipation.

Almost always, conductor and connector datasheets refer their current limits based on the tolerated heat before the insulation start to fail (usually with quite a margin to ensure not only the integrity of the insulation but also to guarantee its longevity)

But, the connector/conductor can most likely tolerate more in some circumstances:


If the average current is bellow (if you only have bursts), and the periodicity of the burts is big enough to let everything cool down
If you implement some sort of forced cooling of your system so the temperature stays bellow the manufacturers recommended operation (+85°C for your choice of connector)


Thus the AWG rating of the conductor or contact resistance of the connector is relevant to extrapolate the elevation in temperature, but the current limit will be determined by the insulator ability to sustain that heat.