Although I'm aware that the term "viking" is very problematic, i think that it serves to better frame my question based on the (limited) understanding i have on the subject.
So it appears that by the 11thc the Norman nobility only kept the conquering part of what we might associate with early medieval Scandinavian culture but in every other aspect they were culturally and ethnically much more similar to the rest of the people in what is nowadays northern France. Even then I'm not sure if the normans being conquerors is something they "inherited" from the Scandinavias, implying that this practice is correctly associated with said culture and not a modern notion of what a "viking" was.
So were the normans Scandinavians to any extent by this period? Did they consider themselves to be descendents from pagans coming from the north?
While more can always be said on the topic, I hope some of my previous posts might serve as (albeit partial) answers to OP's question:
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Some nautical technologies and Old Norse terms for the navigation/ coasts, and the cultural identity of being the descendant of "Viking" settlers, but in reality, they probably didn't necessarily remember the ancestors and their homeland accurately so much.
Add. Reference: