In the strictest terms (will loading both mods at the same time make my game explode), yes, they are compatible with each other.
But in practice, no. His tents / bedrolls / everything do not have knowledge of my scripts, so many of the game functions that these items serve in my mod will not work. Example: with my mod, you cannot sleep outside with a bedroll in bad weather conditions. Using this camp mod's bedroll would circumvent that. If you care about the "intended use" of this mod, it might not be wise to run them simultaneously.
The two schools of thought here are, "I want campsite items because I like the idea in and of itself of building my own camp", and "I want campsite items because I want them to serve a role in some overarching gameplay system". His falls in the former, mine falls in the latter. Neither is wrong, just two different ways of approaching the same thing.
Anyone have feeling about question 1, above? If not, I'm going to be nuking that error. It got on my nerves before I even started working on this mod, and hopefully most will agree.