The battery voltage and battery charger output voltage will be regulated which sets the charger output voltage. The rate of charge is then proportional to the current available from the charger. But what voltage and current are needed to supply the charger?
An EV with 100 kW rated power is designed to transfer energy from the battery to the motor at a rate of 100 k joule per second. If we recharge it at that same rate as discharge then we need a 100 kW battery charging power supply. A typical house outlet is only rated at 2.5 kW, so it will need a special supply. There are many possible combinations of voltage and current that will supply 100 kW. Some are; 250 V @ 400 A, 500 V @ 200 A, 1 kV @ 100 A, 2 kV @ 50 A and 4 kV @ 25 A. Obviously the higher currents will need more expensive and heavier wires, so higher voltages will be an advantage. But the higher voltages are more difficult to insulate, plug in, and switch safely. So there must be a compromise with the supply to the charging circuit. The voltage will probably be less than 1 kV, supplying a maximum current of 120 A.