What it does not deny is existence of Brahman and 'dharma'. So, the question - Does Atheistic Advaita lack anything?
I have no idea if your Atheistic Advaita lacks anything. After all, it is
your spirituality and way of life, not mine.
Is the doctrine of karma part of Atheistic Advaita? My understanding of karma, by the way, is not the mysterious and punitive Western one: 'What goes around comes around.' My view of karma is rooted in the Upaniṣads: we become what we do. If a human being, for example, is lazy, eats without measure, and is ruled by his passions instead of using reason and cultivating virtue, he becomes an animal, metaphorically speaking. As a believer in the
jīvātman, I believe that such a person will very likely be born an actual animal in the next life. On the other hand, the human being who is active in dharma, exercises self-control and other virtues, is generous, and looks towards the celestial becomes divine, metaphorically speaking. Her next incarnation might even be as a
devi. If karma is part of Atheistic Advaita, what is your understanding of it?