There's no such thing as indigenous French people. Cultures between different regions like Brittany and Provence are quite different. The whole idea of European identities being strongly tied to nationalism and established defined groups is rather silly in my opinion. How about Alsace-Lorraine? German, or French? Belgium, is it Flemish or Walloon? Germany has different cultural regions, especially after the division following WWII. Italians have their own divisions between the North and South and other variations. The Scandinavian countries probably best fit a supposed monolithic national culture but that's changing with recent immigrants. The best that can be said is that language defines the peoples of Europe at this time.
