It won so hard that the issues it discussed started seeming anachronistic.
This. The Bush era evangelical conservatism that the New Atheists mobilised against had massively discredited itself by the end of the 00s. In the 10s secularism was so ascendant that being a New Atheist was passé because, what were you railing against exactly?
Yep. As someone who was an atheist through the entire lifespan of the New Atheist movement and who consumed a lot of its content, a lot of atheist writers moved on to other topics around 2012-14, when it became clear that the Religious Right they were critiquing was rapidly losing power in mainstream American discourse and some of the movement's leaders pivoted into Atheism Plus. Atheism Plus was divisive among prominent atheists and spurred a larger shift towards focusing on politics. By 2016, it got to the point that even most atheists did not take you seriously if you were still focused on railing against evangelicals.