The LHT is a great all-around bike. Emphasis on all-around. It is heavy, but has a very smart build for the money (complete). It is not a whole lot heavier than the CC. It does just fine on wide trails/gravel.
The CC is built more with Xcross in mind. The complete CC has different gearing and no rack mounts on the fork. Rims/Hubs are better on LHT. Rear Der is better on LHT. Crankset is better on LHT. If you want to ride the streets and paths, tires are better on LHT. Add up the cost of making the CC built like the LHT. It is significant (to me). If you really want a Xcross bike, the CC is fine. Most people never use it for that--I see lots of them built up like the LHT being used like a LHT. Be honest with yourself--how will you use it? If you want, put MTB bars/cruiser bars on it and pretend you are riding the Atlantis, which is lighter but similar in design.