That is also what I suspect. I don't think this is the issue. I believe the issue is FF14 thinks Z,Rz is the right stick.
I don't have an answer, but I had a similar problem with a 360 controller in Assassins Creed 1, and the problem was this:
- Wired and wireless 360 controllers have different UIDs for some reason, and only one of them is 'officially recognised' by the game
- Assassins creed recognised the controller but because it had a different UID to a wired controller, mapped right stick to the triggers as a non-360 generic controller
The fix for my case in windows was to use 360ce (this predated things like steam controller configs). I'm pretty sure its due to crappy early attempts by MS to prevent third party controllers working as well as 360 controllers, as it was only games released in a certain timeframe (which FFXIV would fall under) that had this problem.
Do you get right stick mapping back if you pretend you're using a wired controller not a wireless one in the dropdown?