This resolves the earlier mentioned issue with this model in that it provides an answer to complaints centering around Gaussian Curvature.
Care to explain how? Or explain how it was invalid?
It seems to just try and avoid it by cutting the Earth into thin strips.
You can do the same with lots of projections. For example, the HEALPix projection:
All you need to do to remove the distortions is cut thinner and thinner strips.
None of these address the issue of Gaussian curvature which shows the surface of Earth isn't flat, in a way which doesn't care about the space it is in.
It makes it harder as you now need to figure out how a path will go across all the cuts, but it is still there.
The easiest way is to join it all together into a simple shape, and what shape is that? Roughly a sphere.
Nor does it address the more critical Gaussian curvature problem, the fact that non-Euclidean means non-flat, as non-Euclidean things have non-0 Gaussian curvature, meaning they are not flat.
So why not ditch the fancy naming and just call it a non-flat flat Earth, or even simpler, a round Earth?