I must say that you have added significant information to this thread. Your information elucidates quite a bit about sources used to determine what essentially happen when various theorist attempted to analyze MacDonalds Colonne Vuide.
It is important to understand that the French system of 1805 which established l'ordre perpendiculaire or perpendicular order, acknowledged the general principles of the Reglement de 1791, and Napoleon also gave enough latitude to use the principles of l’Ordre Prusse, so that other General may still use it when needed.
Nevertheless Napoleon adapted the military system of grandes manoeuvres, that employed great bodies of troops en colonnes serrées et de la ligne déployée (flanking battalions in column and center battalions doubled while deployed).
As an example e.g., the evolution of a change of front with two lignes, no longer operated under the general principles of the Reglement de 1791. -and this is very important to understand, when manoeuvring great bodies of troops.
The Colonne Vuide used by Marechal MacDonald was in the Military repertoire for great bodies of troops. Of course in the old system, the battalions on the flanks would have been formed en colonne d’attaque, but was successfully replaced with the colonne par division serree.
Again thanks for your posting.