Well you can just make a current probe and measure the current on one of your wires from the wall and just multiple by voltage and you will get the correct wattage reading and just throw away the meter which is giving you the incorrect reading.
Most likely the issue is the meter isn't accurate at wattages that high, if you pull less power, say 700 Watts and measure with both, then I think they would get the identical reading. However if its too high of a load, it might get incorrect reading.
Same reason how the KillAWatt can't measure the wattage properly of a microwave. Just shows crazy values.