The Owl thing or some thing similar were given away free by Scottish Power before the smart meter thing started, they connected with the internet and idea was Scottish Power used the info to give more accurate bills than simple estimated and with mine over the year around £10 out. And to be frank that was close enough, the yearly reading corrected any errors due to internet dropping out.
It had a current transformer which went on the meter tails with a small battery, and a mains powered display which went in the house, also some remote switches for sockets came with it.
However to measure less than 10 watt it was useless, it did have a log display so could see some thing switched on if general use was low, but the simple plug in energy monitor
worked far better. Borrowed my daughters, liked it so bought my own. I then bought the Energenie one
which actually tells one less, but since computer linked you can see when the power was used, I have used it for all sorts including checking if the heater on my home brew was keeping up
if it switches off then keeping the temperature high enough. Also used it to see when battery has fully recharged.
However I regard it as a toy, it saves me walking into the flat under the house to check on things, but it does not save electric, as said the non computer one did show when freezer was faulty, but most things have the power used written on the outside.
I would have liked to compare the halogen hob to induction hob, but since they don't plug in, not really possible, the computer does show average use better than stand alone, it rounds off the corners, this
should have been a square wave really, but with electric heating as you say you have, if curtains are closed so inferred can not leave the house, does not really matter if heat coming from TV or heating system you can't destroy energy.