Was his Grandfather the Duc of Segovie, titled Duc d' Anjou ?
Don Jaime was given the title
Duque de Segovia by his father King Alfonso XIII. That is his legal title, for life
. Because he was deaf and had difficulties with speech, Don Jaime renounced the throne for himself and his descendants in 1933.
In 1941 Don Jaime considered himself
ainé des Capétiens, head of the whole House de Bourbon. He then assumed the title
Duc d'Anjou for himself. In 1949 Don Jaime took back his renouncation and considered himself head of the Royal House of Spain. Twenty years later, in 1969, Don Jaime finally renounced his claim again. (Read:
Yes, I am King - Euh..., no, I am not King - Yes, I am King - Euh..., no, I am not King).
The father of Don Luis Alfonso was created
Duque de Cádiz, for life by.... General Franco. After the death of his father (in 1975) he also started to style himself as
Duc d'Anjou.
Don Luis Alfonso himself started to use the title
Duc d'Anjou, after the death of his father considering himself as the
ainé des Capétiens (which he is) and therefore the rightful King of France (ignoring all possible legal obstacles). So the French title
Duc d'Anjou, which was suddenly used by a Spanish Infante, became sort of hereditary as now three generations started to use that title. It is all pretension anyway.
Don Luis Alfonso is heir to a legally recognized title, that of
Duque de Franco and with the honorific
Grande de España.