It's possible to draw a lot of current from a lithium battery for very short periods, as well have pull a lot of current through a conductor for short periods.

I remember doing the calculations for some of the batteries I used in RC planes and being surprised the battery was capable of delivering 4kW continuously for minutes.

Multi-rotor enthusiast here-- I can confirm this statement! My 5" crafts pull up to 80 amps at full throttle and a mere 1.3ah 4 cell battery pack can generally keep up, albeit with some localized heating and voltage sag.

This is how people build very high power (5kW+) electric bikes, by using RC aircraft batteries as power sources. Very light and high power output.