Mine doesn't. I have a Jabra 75t elite, 20.04, and after trying to unpair and repair 3 times I have to run this goddamn script to keep the microphone volume up or it always auto-adjusts it to 0.
I have the same pair, they work flawlessly on my Manjaro desktop/laptop. The audio sounds the same as it does on Windows/Android/Apple devices, at least on my machines.
Yeah well ... I'm not an audio driver engineer, my Linux distro is the most popular (Ubuntu), came with PulseAudio, and I just want my audio to "just work" so I can have my damn meeting and work on the other Linux-based things I need to work on.