I think there is some evidence of health benefits from intermittent fasting , it does reduce metabolic derangements, ( insulin resistance, liver fat etc ) but in the context of a low calorie diet on GLP's, I doubt it really changes the amount or rate of weight loss, assuming the number of total calories is the same.
CICO is absolutely true, so long as you are actually accurately measuring intake and output, thermodynamics is a bitch and cannot be gotten around. But in the real world no one ever measures intake accurately , calorie estimates are notoriously bad, and output is almost impossible to measure, except by back calculating energy consumption based on weight loss and 7700kcal/kg of fat lost.
CICO often seems wrong as a simplistic use of it does not take into account the huge amount of individual variation in energy expenditure, and usually fails to adequately account for drops in energy expenditure with weight loss, especially metabolic adaptation to chronic low calorie input. And the standard age / weight / calories used per day are just not really accurate enough to be that much use. I personally experienced energy expenditure drop 50% over 10 months of weight loss from 145kg to 75 kg, 50% is more than the standard formulas would suggest. And was the difference between losing 6kg per month and 0 kg per month on the same calorie input.