Wires in the car: a clear advantage for 800V. They can be thinner and lighter. That saves a few kg. Not insignificant. But not something that would have a notable effect on any performance aspect of the car.
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Control circuits: 400V semiconductors are more common, less expensive, and can conduct higher currents with lower losses than 800V semiconductors.
Given that current at 800V are half as much, this is mostly a wash for the two possible choices.
Because the limit is, in a real world practical sense, in the charging cable. An 800V fast charger can ramp to higher power levels much more cheaply than a 400V high current charger for all the same reasons the cars benefit from 800V. less metal or cooling/station = more stations (ceteris paribus)
Obviously the voltage difference alone does not itself explain the reason why an e-GMP car like the ioniq can charge in 20 minutes rather than the 30 a model 3 takes, but there are very clear economic advantages to going with high voltages rather than high current.
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Given that current at 800V are half as much, this is mostly a wash for the two possible choices.