It will work for sure,j just be in mono. But I don't know what it would do to the headset battery.
I was wondering whether you can listen to music through the bluetooth mono phone headset. I listen to mostly audiobooks and podcasts, and so mono would be fine, and not having to mess with a cord would be great. Would it just burn the battery on the headset out too quickly (you mentioned how you burned one out on the phone with ATT)?