Going to Normandy nowadays and looking at general public exposition it’s make pretty clear their ancestry is mostly from the Vikings and Nords.
In the east it’s also clear that their frenchness is a fluctuating and partial attribute.
All around the country, each region have a very clear multi-cultural past. And Paris and its periphery is a huge Petri dish of people coming from around the world with a significant number of families that have no ancestors that were in France more than four or five generation ago.
Books still present Franks as french people’s ancestors, but I wonder how teacher make it match with the reality when they teach their students.