The more laid back the seat on a trike, the less frontal area exposed to the wind. I have two trikes, a Greenspeed GTO with a fixed angle seat at about 45 degrees and a Catrike 700 with a fixed angle seat at 27 degrees. It makes a difference which one I ride in windy weather. In any case the lower profile makes either trike easier to ride in high wind conditions compared to a road bike. I doubt any wind you would want to brave would tip either trike.

I rarely ride in really windy weather because it is less pleasant and because high winds mean dust blowing around the valley so anything you gain with exercise is compensated by breathing unhealthy air. It can sometimes get so bad in really high winds that you can feel the grit on your face.