(a) CICO (calories-in/calories out) is not the same as the energy conservation principle, you can claim that CICO model does not work while firmly believing in the energy conservation principle
(b) CICO isn't untrue, its just too simple to model the bodies approach to managing the fat stores. Fat storage is very much controlled by insulin and cortisol. If one or both are high, your body is primed to increase your fat storage
CICO crowd equates 7000kcal with 1kg of fat body mass and then you can do calculations that losing 10k of body mass in a year can be achieved by reducing caloric intake by 200kcal/day, or increasing expenditure by the same amount, or a mix of both.
Experienced dieters know that this doesn't work as easily.
I was trying to loose weight with CICO and hang out in the CICO-crowd forums for 2-3 years until I realised I couldn't lose more than 10kg that way until I plateaued. And in these forums, it seemed to be similar for many.
Then, with fasting and/or keto forums I hang out in there are so many more credible reports of extreme weight loss. And that is because water fasting and/or keto reduce the amount of insulin your body emits, and thus allows your body to really tap into the fat reserves it has in store.