It would presumably tend to promote homogeneity of culture. But even with just the convergence mechanism of the basic model, it would still be possible for two or more distinct cultures to be stable provided that each of them had no cultural features in common with any of the others. Still another approach is to study the effects of allowing only a few specialist sites to engage in long distance interaction. Finally, one could suppose that some or all of the actors in the model are allowed to migrate, rather than be confined to fixed sites. This would allow the analysis of assimilation of newcomers into within an area that had a more or less uniform cultural.
Organizations have culture too.
In organizations, people interact with each other in ways that are structured by location in the organization, rather than geographic location. This is easy to model by assuming the neighborhood of a typical worker is that worker's boss, the other subordinates of the worker's boss, and the subordinates of that worker. It is not clear whether this hierarchical structure would tend to converge more or less completely and quickly than the geographic neighborhood structure of the basic model. One could go further, and generalize neighborhoods to any arbitrary network of connections between individuals. This would allow an analysis of the effects of multiple roles as people interact with colleagues at work, relatives and neighbors at home, and friends at leisure.