This is true, but you need to know what it means. The amperage rating for a connector means that it can handle that load continuously without a rise in temperature. It does NOT mean that the connector fails, overheats, etc.

Also, FWIW I have determined, and confirmed several times that my 11 servo 38% Extra draws an average of 3 amps, so split it is 1.5 amps average per battery. Emcotec setup a plane with a data recodred and got an average load on a 14 servo aerobatic plane of 3.2 amps, with a couple of short-lived peaks of 20 amps (20 milliseconds long).

Just some real world data worth knowing.