I still question it's ability to read both at once, or neither of either?
I assume it measures DC by applying a freq to it's pickup coil and the magnetic field in the clamp will determine the current based on the amount of disruption of the coil's natural inductive characteristics. AC measurement is simple measuring the voltage induced into the coil and converts that to a current measurement. The battery leads and/or motor leads have both AC and DC present. The frequency of the pwm can even come in and out of phase with the instruments measuring frequency creating more problems.
Take a measurement at different places. Try at the battery, then at the motor. Is it different?
Grab one of those digital meters with a shunt off ebay. Their cheap.