The Thrustmaster Warthog works really well in Battlefield 1. You just have to create a blank profile (Profile without any assignments, just the stick and throttle inside) in the TARGET Software. This would create a virtual joystick that combines Throttle and Stick into one Device, so that you can map both in Battlefield 1. But keep in mind that you will just have 32 buttons available, due to a restriction of windows (i think). The Flightstick is fully mappable ingame, but the throttle can only be mapped to the boatswitch, but with all axis. The Console beneath the throttle is not mappable beside the grey slider.
