I've owned the LS50WII for a month and a half now. Overall these are a great choice for peope looking for this kind of thing. You might be interested in my experience.
Starting out, I had some difficulty getting them to connect to my existing wifi network, even though my setup seemed to meet requirements: 802.11ac, dual-band 2.4 GHz / 5 GHz. That problem seems to arise because I have two routers (upstairs and downstairs) which generate my wifi network. Consulting the shop and Kef support, I decided to buy a separate wifi router just for the Kefs. You probably won't have this issue, but if you have a mesh network, you might keep this in mind.
There is definitely some time needed for break-in, to my ears. I got a more effortless sound after a month's time. After some initial fussing, the Kef Connect app has been a pleasure to use. I listen primary to Qobuz, but I spend daily time with my record collection (Rega P3 to phono preamp to aux in), internet radio, and listing to my digital music collection from my music server (an old mac mini) running UPnP. Also airplay is really quite nice. I've known about it for years but had never investigated. So I sometimes send the audio from my computer directly to the speakers this way.
Having had some time to dial in how the speakers are located in my room, music sounds like music. Precise attacks from the brass, golden light from massed strings, and moving crescendos. Opera is a delight with the excellent stereo imaging. The solo voices carry a vibrant human warmth, but also clarity. Also if you are listening in a small room (mine is 3.3 m x 3.9 m) these really fit in, as you'd expect. Small room, big sound, precise image.
This system has less apparent distortion compared to what I'm used to. While it's clearly a "solid state" presentation, I don't experience any glare or graininess. You know, I was prepared to enjoy them as though they were like a radio or smart speaker if that's how it turned out. But these can easily be your main system; they are rapidly becoming mine. I do have another system, but most days I just turn on the Kefs. I don't spend any time thinking about upgrades, except for possibly a subwoofer in the future.
You know, I'd love Kef to harness their DSP engine to provide a highly accurate phono correction. I think they could make this sound wonderful and then no need for a dedicated phono preamp. Probably not in the cards, but I'd like to request both MM and MC settings.