I think Thoresby is generally correct. Berri, Orleans and Anjou were generally used by the Valois and early Bourbons but from the later 17th century on older titles were revived like Bretagne and Bourgogne, probably because there were too many living princes. I think the hierarchy at court was more attached to style, the way the Princes du Sang and enfants of France were addressed. There was more of a system to who was a Prince du Sang, who was an fils de France, a petit-fils de France etc. The appanage they held was irrelevent to their status which was dictated strictly by birth.
I think Dauphin would also more properly fit into this system since it was the title of the heir apparent. The appanage's held by his younger brothers didn't distinguish them in status beyond being fils de France. The children of the King were enfants de France and his grandchildren were the petit-enfants de France (like the Spanish and Portuguese infante). Anyone in the Royal line more remote than that (grandchildren of the fils de France) was a Prince du Sang. Some members had specific titles for example the eldest fils de France was the Dauphin, Monsieur le Dauphin. The eldest brother of the King was known as Monsieur. At one point there were two living monsieurs, Gaston d'Orleans, brother of the late Louis XIII, and Philippe d'Anjou, brother of the new King Louis XIV, so to distinguish them Gaston was le Grand Monsieur and Philippe, le Petit Monsieur. The eldest daughter of the King was Madame Royale and the eldest daughter of Monsieur was Mademoiselle. The First Prince of the Blood was known as Monsieur le Prince. By the 18th century this was the Duc d'Orleans but in earlier periods it had been borne by the Prince of Conde. As the generations pass and the holder becomes more distant to the current King or as a line days out it can move around. So Philippe d'Orleans was Monsieur as the second eldest fils de France of his generation and brother to King Louis XIV. His son would be a petit fil de France and the 18th century ducs d'Orleans were all Princes du Sang since they were descended only from Louis XIII and thus more distantly related (in the male line) to the current Kings.
Most court etiquette revolved around these styles which rather than the appanage was responsible for how one was addressed and what privileges one had. Though the appanage could convey wealth if it contained valuable lands or incomes. And I suppose certain titles could carry some prestige born from tradition but the style of address still trumped that in court ceremony. There were some informal traditions regarding who got which appanage. With Anjou and Orleans usually going to the second son depending on which title was available. But that's not a precise system because once granted an appanage could form an independent line lasting several generations like Orleans or it could almost continuously revert to the crown like Anjou. So its impossible to form a rigid system with Appanages because they can be inherited whereas the style of address cannot be inherited per se and is instead a direct function of the degree of kinship to the current King.