I would assume that it is not smart enough to forsee its own future actions and therefore dynamically inconsistent. The original AIXI does not allow for the agent to be part of the environment. If we tried to relax the dualism then your question depends strongly on the approximation to AIXI we would use to make it computable. If this approximation can be scaled down in a way such that it is still a good estimator for the agent's future actions, then maybe an environment containing a scaled down, more abstract AIXI model will, after a lot of observations, become one of the consistent programs with lowest complexity. Maybe. That is about the only way I can imagine right now that we would not run into this problem.