If you believe this is wrong then I suggest trying to articulate why you believe it is wrong, rather than appealing to cherry-picked non-authority opinions.
The vast majority of calories our bodies burn are upkeep related and this upkeep does not change significantly based on our diet.
Exercise is certainly a factor, but it is orthogonal to the question of whether our bodies somehow stop burning calories while continuing to operate itself. Most people in these extreme circumstances do not significantly exercise at all.
Calorie restricted diets in a clinical setting where calorie inputs are strictly controlled will reduce weight 100% of the time.