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You can use existing Navi data and the numbers provided to get a rough estimate:
(assuming 0 architectural improvements over RDNA1)
The 5700 XT has 2560 shaders where as this new card has 5120, exactly double the number of shaders.
The clocks speeds are increased from 1905 to 2.205 / 2.5. That's a 15.74% increase to the clocks assuming the clocks given are boost and not base. If those clocks are base clocks, boost clocks could be 200 MHz+ on the new Navi 2 chips. Trying to get as conservative a number here as possible though.
So with the 100% increase in shaders let's say performance only increases 90%. Relative to the RX 5700XT that puts performance at 190%. Now calculate the clock boost into that and you get 219.9% relative to the RX 5700 XT.
The 5700 XT is 65% relative to the 3080, if these rumored specs are correct that would put it significantly above the 3080 and at a much lower power consumption. Mind you that's assuming 0 architectural improvements over RDNA1 as well.
Of course the increase in the number of shaders is nothing surprising, the 5700 XT always had a very small die size and the option for a larger die has always been there for AMD. People do not give the original Navi enough credit, it was very competitive with Nvidia, AMD just didn't release any high end options. The clocks speeds up to 2.2 GHz might as well be confirmed given the PS5 is running at that value and it isn't the best binned silicon.
All I have to say is there's a reason Nvidia launched the 3080 at $700. Nvidia doesn't lower prices unless it thinks it has to.
Follow the link above, the 5500 XT is indeed close to half the performance of the 5700 XT.
I hope you are right with these calculations, competition is good.