For those of you who wanted more scientific references in my "Eat as Much as Possible," the link below provides very comprehensive analysis of thyroid and metabolism importance for lowering cholesterol and beating heart disease.
I suspect this is part of the reason fructose (fruit sugar) reduces serum cholesterol - it doesn't interfere with metabolism (thyroid hormone), and provides fuel for the liver to combine cholesterol with thyroid hormone (T3) and pre-formed vitamin A (retinol) to form sex hormones.
I recommend getting labs done prior to beginning experimentation. Before you argue for your limitations from a genetic standpoint, remember one other characteristic of families - they live together and pass on habits.
Argue for your limitations, and sure enough they're yours.