Please read the updated post.
After publishing this original post we were contacted by Google engineers who pointed out that HDR+ Super Res was not always on in the images we took. Of course, it happened unintentionally, there’s just no obvious way to make sure that Super Res kicks in when taking an image.
We have re-taken the test images as suggested by Google and we admit the results are much better now. However Almalence SuperSensor is still superior :).