Ah, and another possibility: The DualSense controller is around two years younger than the default runtime that comes with MZ.
Maybe it’s not supported properly by that older version, in which case updating it might fix the issue: https://itch.io/blog/484532/how-to-update-nwjs-in-rpg-maker-mv-and-mz-for-rpg-devs
That would also explain why the controller test site reports everything as centered.