Such devices are, of course, not intended for that sort of purpose.The Owl thing or some thing similar ... However to measure less than 10 watt it was useless...
However, having said that, I've just done an experiment with one of the phases of my supply which currently had no load on it. My Owl said ...
On switching on a "12W" LED light, I see this:
Given that the device is measuring just current, and that the PF of an LED is undoubtedly lower than the 'average PF' I have programmed into my system, "16W" (16 VA) sounds quite credible - certainly not a mile off
Kind Regards, John