I could see the benefits of being an AOA member as a DO student, especially if you're applying to competitive allopathic residency programs.
The PD will assume you were in the top 10% of your med school class and invite you for an interview. During the interview, he/she will commend you for your hardcore work and prestigious AOA membership.
You will assume you were invited b/c you bring so much more to the table than the next guy/girl. Obviously, you will be flattered when they compliment you...🙂
Everybody goes to sleep happy.
Moral of the story: Being a member of the AOA is a great thing!
(Disclaimer: please note the sarcasm!)