Sorry should have specified this was the J1, so no VF.
Had to pull the trigger rather quickly and the choice was limited to the two...so no Olympus Pen, Range.
At the end I picked the RX100 mainly on the strenght of being more compact, though I don't like that it's only 29mm equiv at its widest.
Anyway, I was forced to do things backwards this time due to the time pressure, so now that I've bought the darned thing I'll do my research and if it turns out that it is unsuitable for my needs (unlikely) I'll sell it NIB.
I'm off to read the other rx100 threads