Some would say that saturated fats and blood cholesterol are not closley linked despite what we have been told. Many appear to find that a low carb diet with a sensible amount of fat improves the LDL/HDL ratio; it's not total cholesterol that matters but the ratio of LDL/HDL.
I was told my 'bad cholesterol' was at a reasonable level but that combined with the diabetes and my BMI put me at a higher risk of a heart attack/stroke. As diabetes can't be cured, only controlled, lowering fat would lower that risk.