When we configure a Group (e.g. "Crusaders") as businessAdministrators of a Task, we can get the Task with TaskService.getTasksAssignedAsBusinessAdministrator("Crusaders", "en-UK"). That's okay. But we cannot get the Task with TaskService.getTasksAssignedAsBusinessAdministrator("Bobba Fet", "en-UK") even though "Bobba Fet" belongs to "Crusaders".
It contradicts the way TaskService.getTasksAssignedAsPotentialOwner() respects Groups of the User.