Yes he does. But is Alan Horn able to give him the career opportunities that WB can give him? Would Alan be able to just yank Kevin Feige off Avengers and let him produce and direct Avengers? Would the same formula that works for Batman also work for Avengers? I don't think they are able to change the tone of the movie. So I'm not sure if Christopher Nolans is willing to take on a project that is so much off his style.
Also, other than Superhero films, does Disney have the right people and expertise and equipements to do other films? Disney only produced like 2 non superhero live action films this year.
Just because he has a great relationship with Alan Horn doesn't mean they have to work together. IMO, it would be a really bad move to have Nolans produce a superhero film Avengers style because it doesn't suit him and he can't do anything to change the universe.