When I Google "Verizon advanced calling" I get lots of hits relating to "This allows you to make calls over your data network, providing HD voice quality and allowing for video calls without any third party apps.
So it seems that Advanced Calling is just voice over data. I still don't understand how Bluetooth can get involved in that.
It doesn't....I don't even have that option turned on, and I still have Bluetooth issues.
I blame Apple's Bluetooth stacks, because all of my android phones seemed to have much less problems with Bluetooth. Since leaving Android for Apple I've owned an iP5, an iP6, and now an SE, and they all had Bluetooth problems with some car kits.