Many HCV patients are also alcoholics. There is a lot of overlap anyway, and that complicates things further. In general, if someone is HCV positive and they are likely to have been positive for years, that will be the etiology clinically. And many of these individuals may have NASH as well, or other possible etiologies.
Yes, classically pure alcoholic cirrhosis will be finely micronodular and very firm, whereas classic HCV has slightly larger nodules.
The above points are accurate though: Cirrhosis is cirrhosis. Don't much matter at that point as long as there isn't ongoing damage occurring.