Maybe It does, maybe It doesn't. Just trying to guess which truly Dirac adds.
A phase issue could be detected and partially fixed with group delay techniques and IIR filters if I'm nota wrong.
It could also explain why some users in certain rooms with certain speakers don't hear great differences between Audyssey XT32 and Dirac, while other ones do hear certain improvements, mainly in "clarity".
We also must remind that Dirac started with car-eq algorithms with big brands. In such "rooms" reflections and phase issues are really hard to deal with. On the other hand, small phase issues seem really difficult to perceive. So with "good" rooms and speakers, Dirac improvements could be less useful.
But just guessing.