Upon further investigation, it seems it does support touch, but not as touch should be. Tapping a touch screen is seen as a mouse click event, but it doesn’t register the position where it was touched. If I have my mouse on my main screen over a control in my cockpit and I tap in a popout window, it will activate the mouse click in the other screen instead of on what I was actually tapping.
Seriously, this has to be the most terrible implementation of touch screen functionality ever.