Both controllers identify as “Game Controllers” and report as HID-Compliant Game Controller, HID-Compliant vendor-defined device, and USB Input device under hardware. Neither one of them are programmed with any mouse or game-controller (RB, LB, X, Y, etc.) specific commands. Just axes and Windows buttons.
Under Joy.CPL, when at rest there are no active switches or buttons. Nothing is lit up.
When GOW is acting up, if I switch off the disable controllers option, the game does display the button overlays. Those disappear when I turn the switch back on.