In reply to Tom F Harding:
Maybe I'm just clumsy and weak, but I find it important for an actual climbing camera to be able to shoot it one-handed, while belaying, hanging on etc. You can't do this with a camera with a lens cap, like the LX100, and that is what put me off the old LX3-LX7 cams, despite their quality.
I have an S100 and like TobyA, find the cold-weather performance not good, battery-wise. I alsl find it struggles to auto-focus in some situations and hunts too much. From the S100 onwards, they used a matte finish on the body, and a small rib on the front, which made it easier to hold and so I never bought a Franiec grip, though I had originally intended to. I don't find it a problem, though I do keep the camera on a cord around my neck when climbing, so I can't really drop it.
I always liked the look and feel of the G9-G16 cams, I liked the handling, the viewfinder and the dials, but it was just a tad big for wearability, and I already had a DSLR for general stuff, so could never justify one over an S100 etc.
From the first moment the RX100 came out, it was clear that its images were way beyond the quality of any other compact cam, and it still seems the same with the MkIII. Not sure I could use one with gloves on though.