I am a religious person, and for me religion and A.A. intersect and overlap. I encourage it because A.A. is something I want to integrate into all aspects of my life, same goes for religion. But I am 100% sure that being religious doesn't distinguish me as someone unique in the program above anyone who is not religious or not spiritual.
For me, it's like how often the Big Book and the program discuss A.A. through the lens of marriages and families. I don't have a marriage. I'm not even so much as dating. I don't feel like I'm getting A.A. incompletely because I'm missing all the components that speak of holding a healthy marriage together.