I have a similar issue to this issue
I have a bluetooth headset which works fine as a set of headphones but Fedora doesn’t seem to detect the microphone at all.
The headphones are CSR iStar 6014BT. The headphones are picked up under Bluetooth Devices:
but the microphone in the headset is not shown at all:
There is no option to change the profile, as suggested in the link to the post above:
Not sure what else to look at.