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I think the Saffir-Simpson scale is generally fine, because wind is a very good predictor of damage potential. Perhaps it could be enhanced by adding a pressure metric. Right now, I believe the category is chosen solely via measured wind speed; with a new pressure metric, which provides a predictor of potential storm surge severity, a category can be chosen if either the wind speed OR the pressure justifies it. In much the same way that a thunderstorm can be classified as severe based on wind speed OR hail size OR the presence of a tornado.
One of the biggest problems with AccuWeather's new hurricane scale is that the metric is completely proprietary and hidden from the public. So AccuWeather will tell you a hurricane is "category 3" (or whatever - who knows what their type nomenclature will be), but won't tell you why it's a category 3 as opposed to category 2, or 4. Whereas, anyone who has access to the NWS's wind-speed measurements (which is "everyone", because the data is open and free to the public) would be able to tell for themselves what Saffir-Simpson category the storm is without the NWS needing to tell them because the scale itself is public-domain; and that also means the NWS can never unexpectedly go "we've decided to make this one a category 3 for mysterious undisclosed and arbitrary reasons, just trust us".