2 kWh over 8 hours is an average of 250 watts load.
If the main switch was OFF and everything was isolated by that main switch then there is a "problem" with the meter.
There will be small trickle of current through the capacitive effect between the meter tails and the internal construction of the main switch. But that is at most a few hundred milliwatts ( less than 1 watt ) with long and closely bundled tails..
Capacitive current has a phase angle of 90 degrees and is purely VA not watts. The meter should not respond to it.