Edit1:
Seems this is a problem with bluetooth in general.  I found the following article from the steam forums about bluetooth headset problems in GTA V.  It might be worth a read to shed light on any problems your having.

Edit 2:
If you start Battlefield 4 on windows 10 and havnt disabled “handsfree telephony as below” all your sound will cut out.
17-sep-2019

https://www.howtogeek.com/354321/why-bluetooth-headsets-are-terrible-on-windows-pcs/

There’s a problem with Battlefield 4 and Battlefield 1 where you get no sound if your playing with a bluetooth headset.  After a bit of googling and research i found the solution;

1. Goto; control panel->Hardware and Sound->Devices and Printers

2. Select Properties on your Bluetooth headset and go to the services section.

3. Uncheck “Handsfree Telephony”.

Note this works on Windows 10 cant say if it work on Windows 7 or 8.