The best way to describe rainfall is by... giving the rates and cumulative amount of rainfall. Flash flood warnings exist when excessive rain causes... flash flooding.
As for direction: hurricanes are circles. Everyone knows the east eyewall is the worst part.
Idk what else you'd want to incorporate/describe that's useful. Except that people that haven't been through bad hurricanes always think what they experience must be worse than the category of the storm.
Eg: Sandy not being hurricane strength when it came ashore, so they made up the term "Superstorm Sandy" because "just" tropical storm somehow lessons their experience.
I wasn't necessarily saying there was a problem with the system. However, when these terms/systems are used in the primary means of communicating dangers to the public (mass media: tv, radio, web) then they are doing a disservice. For a layman, the only difference between a cat 4 and a cat 5 hurricane is that the cat 5 is worse. Yet, for different areas, the category doesn't actually speak of the dangers. And, you risk people thinking "oh, I was in a category 4 before" and not realizing the potential of a 'lower' storm depending on the conditions.
I think the recent flooding in NY from the remnants of Hurricane Ida speak to that.