It might somewhat obvious but I wanted to add that this issue does not just affect Wireless game pads.

I use an older wired USB MadCatz - Xbox360 clone controller that has a tendency to lose calibration from time to time.

The other night it the right stick got stuck moving the camera up so I disconnected the USB cable while still in game in a vain attempt that it would recalibrate itself to the default position when it was reconnected.

When I plugged the controller back in FFXIV did not recognize it. I had to log out via the KB/mouse. When I restarted the game everything was fine.

Not a deal breaking issue but certainly annoying.