The consumption of fat is not linked to heart disease. The consumption of fat combined with carbs, is.
Being fat IS linked to heart disease. So if you reduce the amount of fat on your body by consuming fat you may cut your likelihood of heart complications.
I'm not trying to convince you - but if you are avoiding fat based on the current advice, you may want to do a little research wrt the way consuming fat actually improves your cholesterol, trigylcerides anf BGs.