Yep, speed is the major key. I traveled across the Mackinaw Bridge (5 miles, high above the straights) during a high wind warning - twice last month. I was towing my Scamp
13. The Bridge Authority had imposed a 20 MPH limit on Tractor Trailers and vehicles towing trailers. Had absolutely no problems with the side wind. No white knuckles - enjoyed the crossings. On severe wind days, they enforce the speed limit by requiring "high profile" vehicles to be escorted across, as a group.
The winds on this bridge get quite severe, a couple of decades ago a small car was literally blown up and over the side of the bridge. In 2015 a travel trailer was flipped over by an unexpected gust. Been many other wind incidents over the years as well.
Slow down and pay attention goes a long way.