Thought i would play a it too. (hopefully the image links work, I was having trouble)
Certainly I'm not claiming that these are my "perfect processing" but that they are fairly representative of what I would do to a picture I intended to share with folks.
For the fuji, I applied the astia camera profile in LR and did a few levels type adjustments (whites\blacks\etc) and then added a touch of clarity. Less than 15, just to what looks OK to my eye. I then added a touch of vignette, less than 15 as well, I think it was 9, because, well, I like how a bit of vignette keeps the eye centered in the image or wandering off a corner. I also added some sharpening via a preset I have set for foliage. Maybe I didnt add enough, but whatever. Sharpness isnt really the issue at hand imo.
Now, for the leica, I hit my magic preset which does some color balancing to mimic the M9 and a few other things with levels. I think I slightly adjusted either whites or highlights from there, but that was it. (vignette and other stuff is all built into that one preset)
Overall, on my screen, I like both. The amount of detail in the leica file is impressive. It's almost as if the shots were taken with completely different lighting and atmospheric conditions as the city and mountains in the background seem "dehazed". But I dont think it really makes too much of a difference in the end image.
We talk about lenses and how they draw or paint images (rigid summicron for example) and give them so much praise for their character. On the other hand, some chastise cameras like the x100s/t for doing the same thing. I think there's some beauty in this character of rendering details with what people call the watercolor effect. Then again, it can also be frustrating at times when it isnt desired.
Either way, great cameras. While I wasnt there, to my eye it seems the Leica renders the scene a bit more naturally and is also the image I prefer.
edit: and for reference, the time spent on each photo was not much. I didnt time myself, but I probably spent ~30-45 seconds on the fuji. Aided by a couple of presets. More time was spent here to adjust the individul photo using the sliders one at a time.
The leica image I spent maybe 10s with. Hit my preset button, drug a slider, and I was happy. Much less "thinking" about what I was doing. I suppose I could do the same on the fuji, just never found one preset to adjust global levels that's made me happy.
edit2: thought i should just post a quick crop comparison of the two for completeness