IF this is true, it would be a massive breakthrough. Truly monumental. Hence, I am skeptical. But otherwise, this would be a massive thing. a 2x capacity per weight advantage of batteries? Without an increase in space? That comes down to doubling the range of EVs, and making electric planes and rockets a lot more viable. A 3x capacity per space advantage means roughly a 3x improvement in your phone and laptop battery…
A 3x increase in density does approximately nothing to make electric airliners more viable. We need more like a 100x increase before we see an electric 737 or A320.
Look at the Maxwell X-57 for instance. If you don't have fuel in the wings, and you can use small electric take-off propellers on the wings, you can make the wing much thinner, which reduces drag.
You can potentially fly higher with electric planes, since you no longer have to think about air densitys impact on engine efficiency.
The main challenge with electric airplanes is not really the batteries. You could probably make viable short-haul planes with todays technology. The problem is you're basically starting from scratch, as a plane optimised for electric engines is most likely vastly different from a 737 airframe. It'll take decades to design and optimize radically new airframes.
We might never see planes crossing the pacific ocean with batteries only, but that doesn't mean electric planes aren't viable. By some calculations you can do 500-1000km routes with todays battery tech already, and there's a shitload of those. Maybe you'll have to fly 2-3 smaller planes rather than one huge one to cover the same route, but that can be a good thing. You could use smaller and more local airports. Electric planes are much more quiet after all. Operating costs with electric planes are way lower, so it might not be more expensive either.
With a 3x+ capacity you can start talking about covering most of the routes within a continent. So what if you can't do transcontinental? I think we can make enough biofuel to cover that if most other flights are electric (and/or hydrogen)