I've paired a Bluetooth headset to my iPhone and when I try to listen to music over Bluetooth with the display off, the audio stops when the display goes off, most of the time. Why is this? It makes the Bluetooth stereo audio of the phone pretty useless. I'm running iPhone OS 3.0, which added this feature.
I've tried both a Plantronics and Jabra stereo bluetooth headset, so I doubt it's the headset.