Some complaints of digital recordings include that it sounds flat and clinical sounding. Technology has put so much power into the hands of audio engineers and musicians alike that they may be inclined to edit too heavily. A completely perfect song, in terms of tone and timing, may not sound human anymore. Go easy on the editing and plugins. You can always add more later, but figuring out which straw broke the camel's back can be an unnecessary, and time consuming, task.
You can read more here: http://therecordingrevolution.com/2013/02/11/getting-organic-recordings-in-the-digital-realm/