On the other side, one-dimensional labels for a storm help convey the severity of it quickly and unambiguously.
Hurricanes have three components IIRC (as someone who lived on the coast a long time): Storm surge flooding, rain flooding, and wind.
Hurricane Ike was a cat2 in 2008, which did significant damage to the Houston coast because of its large storm surge.
Harvey in 2017 was damaging due to its consistent rain over the area as it stalled. Tropical storm Allison in 2001 was similar.
One may argue that wind causes the most acute damage as well as the fastest "change in status" of the three: High winds can topple a tree to block a road instantly, or rip the roof from a house in a flash, or knock down powerlines taking out a neighborhood.
While I'm not against a cat 6 or higher rating existing, for the sake of human communication "cat 5" means "get the hell out of there" already.