I only use it on Linux, and I suspect Sony didn't contribute the driver I use. Actually, I don't think PS4 controllers work wired at all, I believe they always use bluetooth and the wire is only for charging. AFAIK anyway.
Very odd that they decided to use wifi instead of bluetooth initially. Between this and the time they spent writing yet another file transfer tool, I'm getting the impression that Stadia was a very unfocused project, trying to do things differently (resume driven development?) when they should have been using off-the-shelf solutions and standard approaches for everything possible.