Much as DXO marks has made people become very clinical in photography, I still very much stick to "whichever camera that inspires me/make me want to shoot with them" philosophy.

For 1 aspect alone, I'd go for Sony RX100 without second thought, build. The build on LX7 is shallow, plasticky, and hollow in between, the grip area is squeeky, with very strong hint of plastic build. Sony RX100 on the other hand is very packed, grip is good, and cliche I know but it's really very solid.

I understand some people might agree that the advantage of having bigger sensor might be negated but the sub par jpeg engine/sub par lens, but one thing very aparent in the sample pictures you showed above that is lacking: dynamic range. IMO dynamic range of the sensor is the deciding factor od whether or not your photos "look" or "feeL' very compact camera-ish. **check the ceiling light on the first pic.

**note: i'm merely a hobbyist so I may sound ignorant please forgive me if I do. =)