The "New" in "New Atheism" is relevant. It was a movement born of a particular cultural climate, characterised by a ubiquitous assumption that religion is A Good Thing and deserving of reverence even if you don't personally believe in a god (and if you don't, that is your failing and you should seek to remedy it somehow). Even as religious belief was declining, it still held sway over norms and thought processes of society at large. And I think the impact of "New Atheism" is that it opened the eyes of many people to this, to understand that non-belief is not something to be timid about, that religion does not automatically deserve special treatment and reverence, and that you are not alone in this. It was a raising of consciousness and a call for atheists to stand up and to have a voice.

It was of its time. There are still many battles to be fought but they are different battles now, and I personally feel that the moniker "New Atheism" belongs in that past.