Please correct me if I am wrong, but aren't the Pyromaniacs dispensationalists?
I'm marginally familiar with them and they fall into the "Young, Restless, Reformed" crowd.
Last I checked John Frame was not emergent, nor Bridges or Piper or Keller or Mahaney and they all use the same terminology. See the link by Frame.
This to me illustrates one of the sad facts about contemporary reformed thought: often folks will divide over terminology like this. We even have a bit of this on this board: R2K, Presuppositionalism, YRR, etc. (twenty years ago, Dooyeweerdianism, theonomy, and Clarkianism, but these are so small now that I don't really count them). This isn't to say that these are wrong or that it's bad to have positions, but I do get a bit tired of all these shibboleths where if you don't use our jargon, you're not really reformed.
Understand, I'm not blaming anyone or trying to point fingers (I most likely do it as much as anyone and just don't fully realize it). Anyway, that's a bit of a tangent. EDIT: ok, a huge tangent and not terribly germane to the larger discussion.
More on topic, I thought that as far as critiques go, this was possibly one of the most charitable and humble that I've ever read.