The CAC-1333 can’t support width > 4096 and doesn’t support USB.
On the other hand, the CAC-1336 (just released) might support 5K and 6K (its supposed to support 8K30) but it’s not tested at those resolutions? For HDMI 2.0, 5K60 10bpc, 6K56 8bpc, 6K45 10bpc, and 8K30 8bpc require 4:2:0 chroma sub sampling. The Apple Studio Display and Apple Pro Display XDR only support RGB. 56Hz and 45Hz are not standard timings of the Apple Pro Display XDR and I don’t know if the XDR supports arbitrary refresh rates. I don’t know if the adapter can convert 4:2:0 to RGB… If it can, the operating system might not enable that feature. Even though the CAC-1336 might support width > 4096, the source HDMI devices might not.
The CAC-1336 also has a USB 2.0 input which might allow using the USB features of the display (audio, USB ports, camera, …) like the CAC-1332 did (discontinued?). Club-3d product page doesn’t mention this feature for the CAC-1332 but people have reported that the USB connection does support USB data and is not used just for USB power.
LG UltraFine 4K and 5K: Yes you can connect it to Windows computers via DP!!!
For CAC-1336 notes, read my thread CAC-1336 operation
When it works, it does support USB 2.0 input. It might be more stable for Windows and Linux than macOS though.