It does, and C1 has profiles for Leica M240. There are actually two profiles Generic, and GenericV2. Not sure what the difference is.
On the other hand, there are few files (out of many) which end up being recognized as ICC DNG File Neutral, and they look decent, but when I change it to Leica ICC profile they end being messed up. Maybe that happens due to the file being DNG. However, 99% of the files look fine and get the Leica profile by default.
Here is an example of Leica vs DNG ICC in the described scenario. Leica looks really bad.
In all other cases (as already said 99%) DNG, and Leica Generic V2 ICC work great together, and much better than LR per my taste.