I'd actually suspect the charger's measurement circuitry before the car's. The charger itself is generally pretty simple -- the high voltage part of the EVSE (charger) is just a relay on the 240V line between the wall and the car; there's no special filtering or transforming being done there. The control circuitry is a low voltage handshake where the EVSE "advertises" how much current is available via the frequency of a wire going to the car. The car puts resistance on that wire to tell the EVSE when it's connected and ready to charge, at which point the EVSE turns on the relay. The car limits its charging draw rate to the advertised value.
Even if the EVSE falsely advertised more than 32A or the car thought it did, the car's equipment maxes out at 7.2kW (30A) so there'd have to be something really badly wrong with the car side to exceed that.
The display on the EVSE is most likely just a current sensing coil around one of the wires going to the car, connected to some cheap electronics. It's much more likely that coil or electronics is bad than that the carefully engineered equipment in the car, but anything's possible. Could you tell if the noise was coming from the car or the EVSE? I could see a loose coil or wire in the EVSE resulting in both noise and a false reading.
But having the dealer check out the car next time you're there wouldn't hurt (well, assuming the service department has any idea how to test the car's charging equipment!)