Liver - Regeneration in Cirrhosis
The answer lies in the question. Liver cirrhosis constrains hepatocytes into small fibrous spaces limiting regeneration, hence the nodular pattern.
However,fibrous degeneration occurs in specific patterns. It can be located mostly around portal regions (centrolobular pattern) or diffusely through the whole lobule.

So basically, it is all good that hepatocytes can regenerate, but the limiting factor is not that. It is the structural impairment of the liver lobules and drainage system that will impair regeneration. 

Moreover, most cirrhotic patients could not tolerate halving of their residual hepatic function. Not to mention the extensive surgery required. It would kill them swiftly.