Putting a prefix in front of atheism doesn't generate a new kind of atheism any more than putting a prefix in front of theism would. There is not a new way to hold the position of not believing any gods are real. And I've never been able to find a characteristic common to the 'new' atheists that distinguishes them from the old ones.
If there are a group of people with the characteristics the OP complains of, I submit that a more descriptive term be coined. Theological pseudoskeptics, maybe. We could call them TPs for short.
If there are a group of people with the characteristics the OP complains of, I submit that a more descriptive term be coined. Theological pseudoskeptics, maybe. We could call them TPs for short.