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.
Ampermert is inexpensive, but in order to use it, you need to connect it to each outlet in series, and this is inconvenient.
I have power supplies with a built-in wattmeter, but this application does not work in Hive OS.
You can use Wi-Fi sockets with a built-in wattmeter, but this is expensive, although very convenient.
I use a budget wattmeter for $ 12, and check its data with the data from the power supply wattmeter. A reading difference of 2-5% does not lead to a serious error