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Headphone gestures not working on Linux
(yiffit.net)
A place for AUDIO enthusiast to share, discuss and listen to others people setups
I don't think the device decides if your touch controls work. I'm sending my Sennheiser CX's back because the left bud does no longer respond to touch.
In any event, it seems like you need Bluetooth Avcrp Transport drivers, maybe Linux doesn't come with that.