Cholesterol and fats are completely different
Your liver uses cholesterol to make bile acids, and bile is the only way your body can get rid of excess cholesterol.
Your body also uses cholesterol to make sex hormones, like estrogen and testosterone. If you have liver disease, you’ll have trouble absorbing fats as well as hormonal problems.
But fats are chemically different from cholesterol; the body burns fats for energy. That’s why food labels list fat and cholesterol separately.