I love this. A wonderful illustration of CICO thinking being incorrect. Anybody suggesting to you that you have an “energy balance” problem is stuck in CICO thinking that is not helpful. It may be technically correct (as you can’t change the laws of thermodynamics) but it is not helpful as to what to do next.
CICO will tell you to expend more calories (ie go do more exercise) or eat less: both of these will exacerbate your problem. It will result in your body shutting down even more (spending even less calories and not using bodyfat). Keto thinking says feed it with more fat calories, and it will burn them, and as you get to fat adapted with a lot of fat coming in, it will start burning your bodyfat (overnight, for example). Hence weight loss.
However, this chain is dependent on your body saying to itself “ah, I have plenty of resources to burn here”. If you don’t feed it, it won’t work.
Cheers
A