One of the major bones of contention for the Carolingians was control of the Rhineland, as those lands were both rich and the heartland of the Franks (including Charlemagne's capital), and this rivalry persisted all the way through from the Carolingians to the Ottonians and the HRE to the Habsburg-Valois and then Napoleon and the Kaiserreich and the Nazis. Let's flip the script, then, and make East and West Francia a package deal from day one, Rhineland included.
Rather than the OTL split of East, West and Middle Francia, would it be possible to have a north-south division- have a "North Francia"/Greater Austrasia encompassing north France, Lotharingia, and Germany, and a "South France" composed of Burgundy, Italy, Aquitaine and southern Bavaria.
Is this feasible?