Change sound output device to different version of the same device

I have some wirless bluetooth headphones. How can I change between the different output version of this same device that shows up twice in my Playback devices. I want to connect to the other version of these Bose headphones. I've tried disabling the current one and re-connecting, I've tried right clicking on the one I want to be connected to and pressing Connect . Nothing works. I want to connect to the headphones version, not the headset one.

Question by Vader on Super User, licensed CC BY-SA. We show a short excerpt and link to the original thread as credit.