Those are some of the reasons I've got the RX10 on the top of my list for a vacation camera. I'm not a pro. When traveling on vacation, ease of use and minimal gear is my top priority. The Sony's built in ND filter is a Godsend for me. 4K is not important enough for me yet and the RX10's and RX100's very good 1080p seem to be more than satisfactory for my needs.
I too have been looking at the LX100 for low-light, indoor/night uses. It would have the edge there but I'm still undecided. What turns me off with the FZ1000 is the 37mm crop on the wide end at 4K and the lack of ND. If my camera has 4K, I'm going to use it. I'm drawn to RX10 camera since they have a bit more video complementing features excluding image profiles. I'm also a minimalist with editing, I try to get it as close to what I want OOC as I can. An RX10 with 4K would be very nice though.
It ultimately depends and what you need and what your willing to compromise with.