Didn't David Gaider state in an interview that the differences between red lyrium and your general run-of-the-mill lyrium is comparable to Red and Green Kryptonite? I don't really know about that (although I don't admit to being an expert in DC comics) being strictly accurate, but I've been running under the belief that the two have some sort of dichotomy that causes red lyrium to be more potent and allow non-mages to tap into powers they otherwise couldn't access. Like Red Kryptonite, red lyrium has unpredictable outcomes. But then blue lyrium doesn't exactly drain people of power the way Green Kryptonite works on Kryptonians - sanity yes, but the analogy isn't quite the same.
I do hope we'll learn more about the effects of red lyrium, particularly on mages, since we've only seen it in use by non-mages (as far as I can recall).
This whole anti-magic thing is confusing, though. Just too vague for me to take anything solid out of that. :S It'll probably make more sense when the game drops. We don't know enough about red lyrium to assume the author(s) of the article were inaccurate in that statement.