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DC fast chargers are already 400V or 800V, so we’ve long since crossed the limits of AC charging at home.

Most of Europe is connected to 400V 3-phase grid.

When limited at a pretty common 40A, this delivers up to 16kW.

Tesla Superchargers routinely charge at 150kW.

I'd say they are well above 800V.

Presumably that would be at charging stations, not at home. Those would be located in commercial areas where they could get the kind of power feed that medium to large buildings get, which is typically 3 phase 13800 V, and can be thousands of kW.

Yeah, what are your distribution voltages in the States, 13 kV maybe? That'd only be about 50 amps if so. 10mm diameter cables would be OK.

Workable with a battery swap station next to a substation.