@davetheoilguy , the heart perfuses all of the organs, including itself and the liver; the liver will die if it is not perfused for a long enough period of time (cardiac muscle will die a lot quicker from absence of perfusion).
When heart rhythm that produces a pulse ceases, one is clinically dead. Liver function can cease but that does not meet the criteria for clinical death. Liver cancer can have a favorable prognosis, and if it doesn’t you will still have time to get your affairs in order as quality of life declines. On the other hand, if you go into cardiac arrest, if you are not in the right place and around the right people your life expectancy usually drops to under ten minutes.