Yes, small battery cars MUST pull more amperage to charge at "120kW", and the 145kW upgrade allowed that to happen.
The 12 chargers in each Supercharger are pulling 40 amps @ 277 volts = 11kW, or 132kW AC power pulled from the grid. Using a generic 90% efficiency for a conversion to DC, we get... drum roll... 120kW.
But, the big battery / higher voltage cars were already pulling 120kW DC prior to the first 70D, so to make a small battery / lower voltage car capable of the same 120kW required a big bump in amps.
My belief is that this is what the "145kW" upgrade is. Whether one car, or two on a Supercharger, an overall load greater than 120kW is impossible on a "135kW" charger, but maybe the "145kW" charger can? Each of those modules must be bumped up to about 12kW AC, so about 130kW DC theoretical output... two cars at 65kW?
Using 365A * 400V = 146kW DC / 160kW AC... that no car can use. Trying to operate the big battery cars at 365 amps is probably entirely possible, if the overall power is kept below 120kW DC, plus any additional heat dissipation that is required is resolved (there shouldn't be much issue with heat if the power is kept below 120kW).
That would be an exceptionally low maximum voltage of about 328 volts max for a big battery car, so any advantage would be at the absolutley lowest battery levels... well below the "knee" of the cells.