Disparity between power and amperage in a smart socket - 3D printer

I bought a cheap smart socket to be able to switch on my 3D printer remotely and to monitor its current consumption. I have done preliminary tests and the current measurements look strange to me
The current shown in the picture does not match the power draw at this voltage. I don't know what to think about this. Is there any other power counting formula for AC than P=UI? The power itself when heating up agrees with what I predicted and with other people's measurements on the internet. Anyone know what this is caused by?

https://pl.wikipedia.org/wiki/Moc_czynna

Independent of the above - do the intensity and power values fluctuate or are they rather constant? There may still be some averaging in the application

Values change on an ongoing basis

Well, all the more reason for averaging etc.
Best test?
Plug a lamp with a traditional bulb (no LED or anything, maybe you can still find an old one like this in the stocks somewhere ) into this socket.
And then check what the consumption is reported to be.

I expressed myself badly. The values in the app change on the fly. As the printer heats up, it draws the same maximum current until it reaches the selected temperature, then the PID comes into play. Then the power decreases and you can see it varying for a while to eventually normalise and maintain a constant temperature. No lamp with a regular bulb I don't have but I did a test with a kettle. There the intensity reading was as expected

So all-in-all, as already mentioned the formula for AC power is not P=UxI but P=UxIxcosΦ. And this phase shift angle cosΦ between current and voltage makes P≠UxI. CosΦ is 1 only for purely resistive loads, where there is no inductance or capacitance. In practice, cosΦ is never exactly 1 but for the purposes of such calculations it can be assumed that a heater, tungsten bulb or other such devices have cosΦ=1.