The other comment is maybe less in the spirit of your comment, so here's a more direct reply:

If different agents communicate their evidence to one another continually, and keep having different evidence that draws their beliefs apart, the simplest beliefs should end up being that they are in different reference classes. I think this ends up being a question of specific evidence and updates, and isn't really relevant to AAT.

As an example, it is easy for me to believe that my friend is allergic to peanuts and still eat peanuts myself. We both eat a mystery food, independently, then talk about our experiences. He went to the hospital, and I thought it was tasty. We both conclude the food had peanuts; we can completely Aumann despite our different experiences.