TL;DR, it's not nearly as granular as you suggest:
https://ars.els-cdn.com/content/image/1-s2.0-S2352467719300748-fx1_lrg.jpg
They can generally characterize the probability that the load is for certain things, but they can't say that your power consumption is because you're using a vacuum cleaner and 7 LED bulbs. They estimate the percentage of your overall consumption that is used by certain things. It's not the same as feeding a LLM a few cat pictures and getting it to identify a cat.