Is this hurricane destructive potential index better than Saffir–Simpson?

The Saffir-Simpson scale has some flaws in that it doesn't' take into account the size of the storm. For simplicity, I use Wind Speed in Knots divided by 35 knots cubed added to the Square of the Radius of Tropical Storm Force Winds. Like so:

HDPI = (Vmax/35)^3 + (Radius/25)^2

This is because the cube of wind speed is proportional to the Power of the Wind, and Power is "Work per second".

On this scale, the smallest possible Category 1 Saffir-Simpson scale hurricane rates as a 7.4. Here are some notable Tropical Cyclones, their SS scale and their HDPI scale compared.

Cat 1 = 65knots @ 25mile radius-> 7.4 HDPI

Sandy 2012 = Cat 2 = 85knots @ 300mile radius -> 158.3 HDPI

Andrew 1992 (Florida) = Cat 5 = 145knots @ 100 mile radius -> 87.1 HDPI

Katrina 2005 (landfall Louisiana) = Cat 3 = 110knots @ 225mile radius = 112 HDPI*

Charlie 2004 (Florida) = Cat 4 = 135knots @ 50 miles radius = 61.4 HDPI

Patricia (World Record winds) = Cat 5 = 185knots @ 175miles radius = 196.7 HDPI

Typhoon Tip (World Record Low Pressure) = Cat 5 = 165knots @ 500 miles radius = 504.8 HDPI

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I think this new version of my scale balances both the size and power of the winds nicely. There is no upper limit to this scale.

*Most of Katrina's real-world damage was caused by levee failures due to shoddy construction and poor maintenance, not the inherent damage potential of the hurricane.

Updates
3 mo
I forget to add that you further divide the HDPI value by 7.4 (unitary Hurricane Metric) to get how many times more destructive the hurricane is compared to the smallest possible Saffir-Simpson Category 1 storm.

Example: Andrew's HDPI was 87.1 so take 87.1/7.4 = 11.77 ~ 11.8

This means Andrew was around 11.8 times as destructive as the weakest possible Category 1 hurricane on the Saffir-Simpson scale. This predicts $35.3 Billion in 2011 Dollars damage for Andrew, which was $26 billion 1992.
Updates
3 mo
The above Information may suggest that Andrew's landfall intensity is still being under-estimated by NHC and other Meteorological Organizations. I find some Radar evidence that landfall intensity might have been 165knots or 190mph sustained winds, as "at altitude" winds were clocked at 189knots by Radar just before the Radar broke. This suggest surface wind of 165knots.
Is this hurricane destructive potential index better than Saffir–Simpson?
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