> without bothering with a wind tunnel
I have access to Nature, so I checked for you. You were right, they did not use a wind tunnel, so I just did in their stead*. Turns out that the fossil doesn't land very stylishly. It also seems to be quite clumsy in mid-air manoeuvres. So you're right, this article is rubbish.
*Using a piece of basalt to model the fossil, as it comes from the Yixian Formation.