Time for an update, as this thread (and threat) is picking up speed surprisingly...
For the record, I bought my LX100 in Cologne, Germany in 7/2015. Every time I took the camera in for repair, I had the service people write down in detail the absence of physical damage... had that happen to me before... The issue some more people by now have wittnessed is definitely not due to weak batteries, but is hard to pin down as it obviously only occurs after a while of sitting on the shelf, and the more you try to reproduce it, the less the fault is there. In my imagination, I see some grease harden up in some delicate thread or gear...
Interstingly, 2 weeks after I received the successfully repaired camera, the service departent called me and suggested to now exchange the camera against a new one from their stock free of charge "because this happened to the camera once, it might happen again" (no further explanations), so I did as they told me.
Needless to say, only when up in the mountains for a three week holiday I realized that the (brand new, out of the box before my very eyes) camera had something sticking to the optics internally, leaving a dark spot on every picture taken with f5.6 or higher... also, the new camera chose to freeze every now and then, leaving me with the only option to take out and reinsert the battery. Luckily, I had taken some quick pictures inside the shop the moment I laid my hands on the new LX100, and retrospectively it was obvious that the black spot had been there right from the start, so no discussions this time. The freezing I had documented with my smartphone camera...
So it has been in for repair for another 4 weeks and is now sitting in the shop waiting for me to make it there. On the phone it sounded like they exchanged everything but the outer shell... I promise, there will be more thorough testing this time... and next defect will lead to legal action from my side.
Hope this helps, if probably not with trust in the perceived quality of this camera...