I've written about the role of saturated and unsaturated fats and how they related specifically to liver disease and the development of inflammation and fibrosis development.  In that earlier post, which you can review here if you wish, I explained the research on fats and health which had a focus on diabetes for which liver function is critical. In that I commented only briefly on coconut oil since it is an intermediate, or medium chain, fatty acid.  It is a saturated fat so from the perspective of a liver patient the effect on liver bio-chemistry is important so I thought I would expand on the role of that intermediate length fat. 

A source I would like to refer you to for a broader discussion to the site of Jen Miller who discusses a lot of health issues. Her site is where you will find her article is here https://www.jenreviews.com/coconut-oil/.

Coconut oil has a specific value as it can be directly processed by the liver into ketones. When the body starts running low on blood sugar, the brain falls back on another source for its backup reserves. Its alternative energy is stored in what is known as a ketone body, or a ketone for short. Ketones are produced from fat that’s stored in the liver, and are made with a single purpose - to deliver energy to the brain in times of need. When blood sugar levels go down, the body amps up its production of ketones so the brain has a constant supply of energy.  As a brain supporting food coconut oil can be helpful to people who are struggling with energy after cutting out sugar.