The game markets support for modern gamepads, but it crashes if you have an Xbox One controller connected.
That's quite a miss. I'd be happy to provide more details if needed, but to summarize this is the only game that does this.
Don't have any software hooking in to xinput calls or anything. Steam isn't running in the background and if it is I don't have it's "Xbox controller support" enabled so it doesn't affect it in any way. Could it be an enumeration issue of devices?

I've played both games with an XBox One Controller and have had no issues.

I'm sure there is a patch in the works as there seem to be a few issues being reported but you may want to contact the developer about your issue to see if it is something they are aware of.