The reason the NYTimes author (and others) compared 'The Day We Fight Back" to the SOPA protests is likely because 'The Day We Fight Back' used the success against SOPA as its primary example of what online protests can do. The campaign set SOPA as the benchmark, not The New York Times. Its website, before the current updated version, repeatedly evoked the defeat of SOPA as the measuring stick. It did so in the text on the site and the promotional video.
Even the name "The Day We Fight Back" implies that this is a fight that can be won in a day. Supporters later pointed out that this is a long war, not a fight for a day. But the initial promotion of this campaign did little to encourage people to take this fight and make it part of their lives for the foreseeable future. And the fact that supporters are justifying the legitimacy and effectiveness of this campaign by citing one-day numbers only furthers the notion that a single day can make a difference in what will inevitably be an ongoing battle for the rest of our lives.