> How complex are the actual charging "pumps"?

150 kW per supercharger.

So your typical 8-pod supercharger needs to supply 1.2 MW, or roughly the same amount of power as 1000-typical US homes. EDIT: And now to build a thick enough cable that is weather-proofed and idiot-proof, so that no one kills themselves touching that wire... in all weather conditions (hot, cold, rain, snow, sleet), and... yeah... its actually kinda scary if you think about it.

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Yeah, in terms of "MW of fuel delivered per second", a gas station pumping gasoline is surprisingly efficient and simple. Doing it purely electrically, even at a much slower rate (30 minute charge times) is surprisingly complex.