In the prior post I compared the two at 24mm equivalent. Sony seems better in the center and at the edges. But to be honest, when viewed as big as possible on my 24" HD monitor (1920 x 1080) or my large HD TV, I really can't tell the difference when viewed at normal viewing distances. Either way, both images need to be downsized to about 2mp to be viewed on a monitor or HD TV (1920 x 1080 equates to about 2 million pixels or 2mp). My guess is that even a 10" x 15" print would not show the difference if viewed about 24" away. All that being said, all the picture I took were done in good light with the Panasonic ISO at its lowest 80 and the Sony at its lowest 100. All bets are off when the light goes down.
The images below were taken hand held at 50mm equivalent. At this setting, the LX5 is at its best at F4. The 16-50 at 50mm-equiv is at its best at F8 and at its worst wide open at F5. I used the lowest ISO: 80 for the LX5 and 100 for the Sony. I shot RAW, used Aperture Priority and Auto White Balance. What you'll see below is that even at its worst (F5), the Sony is sharper than the LX5 at its best (F4).
I imported the RAW files from both cameras into Adobe Lightroom 4 (LR4). I used the default Adobe color profiles.
I then added sharpness and clarity to both images. The Sony took more sharpening than the Panasonic without looking crunchy, so the Sony got a bit more sharpening. I also using the CA tool to get rid of the purple or green fringing in high contrast areas like tree branches.
Finally, I downsized the Sony to the size of the Pany and created JPEGs at the 100% quality setting. That meant a pixel width of 3776. The JPEGs were brought back into LR4, and I used the X-Y comparison tool in the LR4 Library module to view the images side-by-side at 100%. These are screenshots.
For 50mm equivalent field of view, my conclusion is that even at its worst (wide open at F5), the Sony beats the LX5 at its best setting (F4).