For me it depends on context and need, but even if one hectic day I decide to use Jake Knapp's paper burner list instead of org-mode, at the end of the day everything still gets put into my electronic system. I still haven't found a paper system that can offer search and tagging as good as something like Emacs, OmniFocus, Evernote, etc
Definitely agree -- paper is something that should compliment your overall system, it's pretty hard to get by with paper alone these days.
If my goal is to focus in on what I'm thinking about, pulling myself away from the computer and putting pen to paper does a better job than anything digital has been able to provide me.