When I have my phone set to "do not disturb" and the phone is connected to a Bluetooth device for audio (headsets or speaker) it pauses the music when a phone call comes in. It doesn't ring in my ear but it stops the music until it is done ringing.
I don't know about you but that is "disturbing"
A do not disturb setting should do it's literal definition and not disturb me. If I wanted to know about calls coming in I wouldn't set it to do not disturb, right?