This statement is almost correct. Natural saturated fat (animal fats, coconut oil, butter cheese etc) is perfectly healthy and necessary to the human diet. It has no connection to heart disease or any other disease. The fats that are bad for you are trans fats and most vegetable oils.
Also there is no dietary requirement for any carbohydrate (including sugar). The body makes the glucose that it needs.
We are all suffering from the bad dietary science promulgated since the the 1950s with the phony research of Ancel Keys.
Saturated fats and coconut oil are brain food.
We may find in the future that the Alzheimers and dementia problems in our society are due to restriction of these healthy fats.