The fact that GLP-1 seems to have roles not just in satiety but that agonists seem to reduce other types of impulsiveness (e.g. gambling, shopping) is interesting. That's not something you'd predict as a consequence, and perhaps is downstream of some gut-brain connection.
Of course we already manipulate brain chemistry in other more direct ways with antidepressants so perhaps any unwanted second-order effects could be minor in comparison to the profile of existing antidepressants .