As I always used my Bose Bluetooth speakers and never had an issue I now took a Headphone/Headset similar to what @bengio is using.
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Didn’t had any issue to connect using bluetoothctl / scan on / trust / pair . The Headset the connected but disconnected with in a few seconds. After I issued connect all was good.
Headset was showing similar as @bengio first the headset then the audio sink.
UUID: Headset (00001108-0000-1000-8000-00805f9b34fb)
UUID: Audio Sink (0000110b-0000-1000-8000-00805f9b34fb) -
When trying to play from Kodi when I connected the headset the sound moved away from HDMI but didn’t reached the headset. When disconnecting the headset it took up to a minute for sound coming back to HDMI
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I then tried @RobertJRussellLives
pactl list sources short
with my headset connected but it was not showing any of the MAC info from the headset.
0 alsa_output.platform-soc_audio.analog-stereo.monitor module-alsa-card.c s16le 2ch 44100Hz IDLE
So not much of a help for you but clearly a confirmation that headset profiles could be part of the issue.
EDIT:
When connecting the Bose Speakers I get this output
|0|alsa_output.platform-soc_audio.analog-stereo.monitor|module-alsa-card.c|s16le 2ch 44100Hz|SUSPENDED| |---|---|---|---|---| |3|bluez_sink.08_DF_1F_21_CB_03.a2dp_sink.monitor|module-bluez5-device.c|s16le 2ch 44100Hz|SUSPENDED|