From the same interview:
"MR. WARREN: A fundamentalist would deny the miraculous today."
It looks like he is speaking of a different five points than the ones your site listed - or at least different explanations of the points.
You don't know for sure (but hoping for the best I would guess).
But read all of his writings and take them as a whole...he downplays doctrine, waters down the Gospel and references false teachers...In that light, his dislike for the Five Fundamentals and unswerving fundamentalists becomes more understandable.
However, one thing we can tell from Warren's statement that you referenced (A fundamentalist would deny the miraculous today)...Mr. Warren speaks in over-generalizations and untruths.