Just a quick note: your example shots are inherently flawed and, consequently, can't really show the quality difference between the two cameras.
In them, all of the 808 shots are underexposed compared to those of the 1020.
1, underexposing will always mean less highlight clipping - exactly the one thing you're mentioning as clearly worse with the 1020 than with the 808
2, you can dial in a constant, say, -2/3 under-exposing (exposure compensation) with the 1020 too. (After all, they aren't iPhones - my entire article dedicated to iOS exposure compensation is HERE.) Then, assuming similar exposure, the dynamic range of the two cameras will be approximately the same - as is easy to conclude based on other tests.
What about aliasing, grain and noise with 1020 though? Drag the image into a new tab and have a look at it at 100% zoom, especially on window frames, 808 is much smoother and shows more detail.
That's an excellent tutorial you posted, thanks! I'll read it.