Remeber that LMCE works off the concept of having a media director in each room which would normally be responsible for controlling all devices in that room. With that in mind, you would generally not have any wall mounted volume controls, rather using an orbiter or remote control to interact with that room's media director. The media directors communicate with the core via ethernet, so you want to have cat5/6 to each room.
And there really should be no reason to need any cables other than cat5/6. Even if you decide later that you need to run a/v signals between rooms, there are adapter baluns available to run every signal out there on cat5.
Climate control, lighting, and alarm equipment is usually wireless, such as zwave. at most cat5 is needed, at least just power.
So youre on the right path with the cat5e everywhere. the only question you need to answer is how many to pull to each location (and its always more than you think)