Hm, I vaguely remember, that a long time ago (5 years?) we added support for xinput, and it worked.
Questions to you: how did you install this xinput controller? Did you run some utility, or did it came with the game? Or you had it installed before?
Do you have somewhere on your computer a file xinput.dll? If yes, it which folder? Something related to the game?
I use the controller with other game too. I didn't do anything to install, once plugged it in, Windows 10 detect it automatically. There's no special xinput.dll in the game's folder too