I was recently reading the Wikipedia pages for a couple weddings within the royal family from the 1950s/60s (specifically Princess Alexandra and Angus Ogilvy) and in the list of guests was "The Duke of Bourbon and Burgundy". When clicked, the link directed to Alfonso de Borbon, Duke of Cadiz in the peerage of Spain and Duke of Anjou as Legitimist claimant to the French throne.
Now, at the time of those weddings, he had not been created Duke of Cadiz or assumed the title Duke of Anjou, but I can't find anything that indicates he was ever known as either the Duke of Bourbon or the Duke of Burgundy, and when searched on Google, the only results are from the pages related to those weddings. Was there a political or diplomatic reason why he would have been referred to by those seemingly invented titles, ie not wanting to refer to him in a way that would seem to express preference for his claim to the French throne over the Count of Paris and the descendents of Napoleon? That's the only real explanation I can come up with seeing as it seems, based on my research that British royal weddings are the only circumstances under which he was referred to as Bourbon & Burgundy