They definitely can not manipulate the database to show different aspects of space. However, the map is encoded on paper and the GIS uses a digital format. The digital aspect of a GIS versus a map gives it tremendous analytic prowess over a map. Maps can be analyzed but only through manual means. Analysis is the most important aspect of a GIS and its ultimate strength versus analog maps, computer aided cartographic and computer aided drafting.
Maps are only a graphic devise.
However, maps are only one type of GIS input. GIS offers some of the same options as tradition handrawn maps. The end product of a GIS is not the map. Within the concept of non-parcel LIS, habitat evaluation, procurement, forest and range management could be evaluated. GPS is becoming an important element when locating particular stationary or moving objects.