A think the problem here is largely a lack of specific definitions, and as a result people seem to be communicating at cross-purposes.
I think a distinction has to be made between "new atheism" as defined as "the current on contemporary movement of atheism in general - inasmuch as atheism in general could be defined as a "movement"", and "New Atheism" which can be seen as a particular movement within atheism that holds a larger set of shared ideological principles largely established (or, at least, brought to wider attention) by Sam Harris in the early 2000's. The confusion of over the labelling is partly why I don't consider myself a "New Atheist", despite sharing quite a few of their ideological values. For the sake of this discussion, I believe it is Sam Harris' movement of "New Atheism" which is what is being addressed, and I see no major issue with discussing it in isolation as a distinct topic from general atheism. Of course, dismissing the movement as neither new or particularly meaningfully distinct from general atheism is still also a valid position.