OK, that is a fair question.
The meter works on the mutual attraction between the magnetic field of one coil and the current induced in the metal disk by the other coil. That pretty much forces it to depend on the time varying nature of the driving voltage and current, since otherwise the eddy currents would simply decay to zero.
Whether the meter is frequency dependent or independent hinges on whether the induced eddy currents are (initially, before they start to decay) proportional to the line current or to the time rate of change of the line current.
My first take is that, like a current transformer, the eddy currents are directly proportional to the driving current as long as the frequency is high enough to allow us to ignore the current decay caused by the disk resistance. That is also consistent with the eddy current being in phase with the driving current and therefore able to properly deal with the power factor angle of the power it measures.
At some low end frequency limit the meter response will fall because of the disk resistivity. At some high end frequency limit other factors may interfere with the meter response.
In the region around the design frequency, big enough to include both 50Hz and 60Hz, the response should be good enough. At 400Hz, I am not so confident, and a slightly different design in terms of coil turns and spacing might be needed.