I use a Logitech Wireless Headset ... and have done for quite some time.
It is better quality sound and MIC than any of the cheaper brands I have tried.
Great to be able to move about and still listen and talk.
From what you have posted the problem has nothing at all to do with the headset, but everything to do with your settings.
If it works for one sound stream it will work for others
As you have Pulse Audio installed it is a matter of directing any existing
sound stream to the headset .... or to the speakers .... or to a BlueTooth earpiece .... or to ..... whatever might be attached to the PC.
Ans: Good living, minimal food, good quality cigarettes and whiskey