Yes, "hepatic liver cancer" and "hepatocellular carcinoma (HCC) of the liver" are referring to the same condition. Hepatocellular carcinoma is the most common type of primary liver cancer, and it specifically refers to cancer that begins in the hepatocytes, which are the main type of liver cells. "Hepatic" simply means "related to the liver," so "hepatic liver cancer" is another way to describe hepatocellular carcinoma or liver cancer that originates in the liver cells.