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You could add the Sony ZV-1 to the list (original version, which has lens OIS) - it's basically the same size and weight as the RX100 V but more video orientated. I own both the ZV-1 and an HX99 (which is tiny, shoots 4k up to 30p, with a pop-up EVF and a fantastic zoom range for a camera that small - helped at the long end by only having a 1/2.3″ sensor, of course). Unless you really need the zoom range or EVF, the ZV-1 shoots better video (with a mic jack too) and very nice stills. You can also get a JJC stick-on 52mm filter adaptor for it - https://www.amazon.co.uk/dp/B07GWQ6CXL (The Sony menu system will annoy you though if you're used to Panasonic cameras...)

The LX10/LX15 is a solid little camera. The big differentiator (aside from price) over the Sony 1” cameras is the f1.4 aperture at the wide end. That comes with a couple of caveats in that it doesn’t stay f1.4 very far into the range and shooting in 4K there is a bit of a crop. It takes my cinelike-D hack and I also put a magnetic filter thread on mine that enables you to put ND on it and/or in my case a Sony 2x TC that you can quickly pop on and off to extend the range. These are some grabs from mine. The top panel is lens at it’s widest, the middle is maximum zoom and bottom is maximum zoom with the TC on. If you want to have one with a natural long zoom range on it then their other 1” from the time the TZ100 has a 10x optical zoom. Can also take the cinelile-d hack.

For fast action sports where you're moving quickly it's just not sufficient from what I've seen. If you're largely standing still I imagine it's sufficient but when you're running around a wrestling ring, not so much. My use case though is admittedly unique.

Sony RX0 is reasonably small. Not a zoom however and you might regard it as an “action cam” (albeit without stabilisation it isn’t!).

My user icon here on EOSHD is a GM1 with a tiny Pentax A110 24mm prime lens on it. Aside from using a flat-f8-body-cam-pancake-lens, this was as about as small as I ever got things. Which was pretty small!