There aren’t any other camera profiles for an LX100. Canon, Nikon, Olympus, Sony, a few Pentax and one Leica have more profiles than Adobe Standard. There are also a few Fuji cameras that have internal treatments that are selectable like profiles but are not from external profile files.
If you’re on Windows you can see what external profile files exist, here:
C:\Program Files\Adobe\Adobe Lightroom\Resources\CameraProfiles\Camera
Please refer the below discussion related to the same issue
Let us know if that helps.
I might be crazy, but it looks to me like today's Camera Raw update pushed to CC users contains camera profiles (good ones!) for the LX100! I found out right as I went to install the Huelight profiles I just bought, too. Can anyone else confirm that these are actually new? I can't find a change log for ACR or this update.