“Western atheism” doesn’t lack depth, it’s more that the people actively arguing with others that call themselves atheists tend to lack knowledge of their own position. Dawkins, Hitchens, etc. are notoriously uninformed on the topic of religion.
https://en.wikipedia.org/wiki/New_Atheism#Criticisms
No one in the philosophy world takes the works of the New Atheists seriously. They are pop-culture writers, not serious philosophers (other than Daniel Dennett.)
If you want a serious thinker's thoughts on atheism, you are better off picking up a book by Nietzsche, Charles Taylor, David Bentley Hart, the Oxford Handbook of Atheism, or any other number of thinkers, or browsing the articles here: https://plato.stanford.edu/search/searcher.py?query=atheism