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[edited by: aakk9999 at 9:15 am (utc) on Aug 16, 2013]
[edit reason] Clarified domainpop = domain popularity [/edit]
Typically, the first attempt by users are to be very specific and fine tuned with their individual urls. Instead use a domain: command and disavow the whole site. That is often better....
"Be aware of the site-wide disavow possibility, it will make your life easier" have been the key sentences in his reply. I am thankful for such a definite answer and thought I’d share it here.
Usually this should harm your ranking, because usually a high domainpop improves your ranking and a low one is bad for your ranking.
So I'm surprised that since disavowing has become popular nobody at least hits on the idea that the reduced domainpop will harm the ranking. At least as one factor.