They can't be consider a real Royal Family because they were just people who served the republic and then proclaimed themselves Emperors.
Prince Jean-Christope has more blue blood than many of today's royals.
Parents:
Charles Bonaparte, prince Napoléon
Béatrice de Bourbon, princesse des Deux Siciles
Grandparents:
Louis Bonaparte, prince Napoléon
Alix (des comtes) de Foresta
Ferdinand de Bourbon, Prince des Deux Siciles
Chantal (des comtes) de Chevron de Villette
Great-grandparents:
Victor Bonaparte, prince Napoléon
Clémentine, princesse de Belgique
Albéric comte de Foresta
Geneviève Fredet
Rainier de Bourbon, prince des Deux Siciles
Maria Carolina comtesse Zamoyska
Joseph-Pierre de Chevron, comte de Villette
Marie de Colbert du Cannet