The conclusion of the mentioned systematic review with meta‐analysis: coffee consumption and the risk of cirrhosis (Alimentary Pharmacology & Therapeutics, 2016):
This meta‐analysis suggests that increasing coffee consumption may
substantially reduce the risk of cirrhosis.
They say coffee may reduce the risk of cirrhosis, not that it can treat it.
The article mentions that caffeine, chlorogenic acid, melanoids and the pentacyclic diterpenes, kahweol and cafestol in coffee may be associated with health benefits.
According to another systematic review, regular coffee consumption is associated with decreased risk of liver cirrhosis and according. Yet another systematic review concludes that coffee consumption is associated with decreased risk of nonalcoholic fatty liver disease.
In another systematic review, caffeine consumption was associated with lower risk of liver cirrhosis in patients with hepatitis C.
These reviews say there is an association between coffee drinking and lower risk of cirrhosis. The actual cause-effect relationship between coffee drinking and cirrhosis has not been established, so far.
Cirrhosis may be reversible.
Is cirrhosis of the liver reversible? (PubMed, 2007)
Accumulating evidence suggests that liver fibrosis is reversible and
that recovery from cirrhosis may be possible.
Cirrhosis and its complications: Evidence based treatment (PubMed, 2014)
In the past cirrhosis was generally thought to be irreversible but
recent studies have shown that treatments aimed at the underlying
cause especially in earlier stages of the disease can improve or even
reverse fibrosis.