The bottom line of the article is that we should use better and more understandable metrics about a hurricanes path, like https://www.nhc.noaa.gov/refresh/graphics_at5+shtml/174008.s..., which was referenced in the article
https://www.nytimes.com/2019/08/29/us/hurricane-dorian-flori...
This is not the same cone map, the shaded area represents "50 percent or higher chance of experiencing wind speeds of at least 39 miles per hour" - ie. a simplified version of the map you recommend.
The crux of the problem is that visualizing uncertainty is hard (remember the NYT 2016 election needles?) especially in a geospatial context where screen X and Y are meaningful. Animation can certainly help but interaction is even better.
This one is also quite informative. It gives you a better idea of when you should have your house ready: https://www.nhc.noaa.gov/refresh/graphics_at5+shtml/144746.s...