Perhaps in your experience, but that has not been what I've seen at all. In fact, I know 2 people who developed T2D, lowered their total intake, and still have T2D. Maybe you've seen it more commonly as an effective method, but I haven't. What I have seen (though probably wouldn't be "common" since few will do it) is the elimination of carbs as very highly effective. And I've seen literally no cases of T2D in anyone who eats purely protein and fat, regardless of how much they consume.
So, I have to agree with Johnny here. The CICO methodology can "work," but it is a poor representation of what's really going on.
A calorie is a measure of heat, and our bodies don't actually use heat to move muscles or drive any other metabolic processes. Our bodies use ATP for such things. This involves a chemical reaction, not so much a thermal reaction (though some heat is undoubtedly produced), so calories are misleading as a means of understanding metabolic demand.
Further, 1g of carb and 1g of protein have the same "calories" but do they have the same effect on the metabolism of the body?
Not really.
Dietary carbs are either oxidized to make ATP or stored as fat.
Whereas proteins are almost entirely broken up into amino acids and used as structural building blocks, not as a source of "energy" (whether immediately oxidized or stored as fat). I know Johnny might disagree here, because of the large bolus of protein triggering gluconeogensis, so yes, some dietary protein will be funneled through the liver and turned into glucose under certain circumstances.
Dietary fat can be oxidized from chylomicrons in the blood to make ATP for immediate use, as well as utilized in the formation of hormones, the support of cell membranes, and of course storing fat for future use.
Whatever the case, dietary carbohydrates are generally unnecessary and contra-indicated in the context of a human diet, such that one could probably eat a "surplus of energy" from protein and fat, in the absence of dietary carbohydrates, and be perfectly healthy.