Not to argue with the New York Times and a Princeton Historian, but are the digital humanities really limited to quantification? I think that's perhaps a bit of a narrow minded opinion, or that I'm misinterpreting. For example, digital art or the study of digital artwork could be considered digital humanities, and I don't think that digital art has anything to do with quantification.
I do understand the idea that quantification and data can't "deal with elusive questions of aesthetics, existence and meaning, the words that bring tears or the melody that raises goose bumps" (frankly an awful sentence, but that's besides the point) without human interpretation. I've seen some truly horrifying or very encouraging statistics before that can evoke these responses like a piece of literature, but the statistics alone do not embody those reactions.