Now go to the NYT main hurricane article and what do you see? The same misleading map that this article says people don't understand instead of the better wind speed probability alternative:
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.
IMO this chart still doesn't adequately explain the data. That color scale reads to me like storm intensity.
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.