Dear @thegiver25,
The earlier (younger) you start NUC therapy, the lower the risk for HCC. I do not think that this article should cause you any anxiety.
HCC is caused at least in part, by copies of the HBV genome integrating into host chromosomes. This means that liver cancer can form even without having liver disease (e.g. cirrhosis).
By slowing / stopping viral replication, the integration process is also slowed, which lowers the risk for HCC.