In the Western religions, you don't see the belief in God vs. non-belief in God as a difference between PR and ER...
I disagree on this point. Forms of Christian Mysticism, Kabbahlism, and Sufism may retain terminology such as "God", but in a mystical context "God" doesn't necessarily mean deity so much as nebulous concepts as unity, oneness, the-indescribable - similarly, in Eastern religions terms like "Godhead" or "Buddha" can refer to a specific deity or a more general spiritual concept.
Does deity-worship ever qualify as ER?