Not at all.

The Normans who invaded England under William the Conqueror were centuries removed from their days as viking settlers. Though they had originated as settlers and glorified mercenaries to help ward off Norse attacks on Francia, they quickly assimilated into their new home and became a distinct and unique culture, quite different from their roots as Northmen and different from the surrounding polities that were theoretically French vassals, as well as other powers in the area such as Brittany. They spoke Norman French, they had French ancestry more often than not, and they had long adopted Christianity and the Latin Church specifically.

Lets get some basics out of the way though. How heavy was Scandinavian migration to the area of Normandy? According to Marjorie Chibnall, the settlement of Scandinavians was largely concentrated along the coast, away from most population centers, with the exceptions being the cities of Rouen and Caen, which formed the core of the territory of Normandy. Analysis of language and vocabulary, particularly related to maritime matters, places most Norse settlement along the Normandy peninsula, and to the North West of the city of Rouen. The numbers of these migrants were likely not enormous and Chibnall even dismisses the idea of a "mass" migration. Instead she claims that the Norse population came in small waves, often individual warbands who were given small plots of land and quickly intermarried and assimilated into the emerging Norman landscape. Thus making the overwhelming majority of the population descended from Frankish natives, with a smattering of patrilineal descent from Scandinavians. As a consequence of intermarriage and assimilation, Norse loan words into the Norman dialect of French are largely limited to specific fields, and the language as a whole is unambiguously a Romance one, not a Germanic derived one.

The Normans themselves were relatively quick to adopt Christianity as well. Rollo, baptized as Robert, officially converted to Christianity as a part of his grant of land and his successor, William, furnished lands and donations to monasteries in his realm as well. Officially, the leadership of the Normans quickly converted to Christianity and there is little to indicate large scale continued adherence to Norse deities and practices. Certainly not extending all the way to the Norman Conquest of England. Indeed, the Normans received a great deal of support from the Church, and the bishops of Normandy and abbots of lands in Normandy proved enormously influential and beneficial to the Normans themselves. Papal support for William's invasion of England after all did not appear out of thin air! Normandy itself was relatively thick with bishoprics and Abbeys, and Church support for the Normans was usually relatively forthcoming.

Norman identity, as separate from Frankish and Norse identity was also solidified following two major developments. These were the political consolidation of the duchy in the 10th century and the flowering of Norman art and literature, largely at the behest of the ruling dynasty, in the early 11th century.

The political instability of early Medieval France is well known and attested, and the lack of royal oversight, though this did ebb and flow under different figures, allowed Norman rulers to quickly establish a much larger polity than they were originally granted. By waging nearly continuous war against their neighbors, both other theoretical vassals of the Frankish king, and the independent Bretons, the Normans created a much more coherent political entity that in turn strengthened a firmly Norman identity. This far more centralized and efficient political base enabled a much more powerful base of operations for Norman military endeavors across Europe.

As a part of this consolidation effort, and to further glorify the family of the ruling dukes, pieces of "history" were composed to both glorify and justify the rulership of the Norman dukes. The Gesta Normannorum was compiled in the early 11th century and like all good fake histories of newly powerful groups in Europe, the ancestry of the Norman ruling house was traced back to Troy, and a fitting amount of legendary deeds were added in, combined with a liberal usage of actual sources and recent history, to provide an ideological justification for Norman rule. Works such as this go to great pains to both provide a fittingly ancient justification for Norman rulership, as well as to provide "evidence" of historical ties between the Church and Norman rulers, and further cultivate the reputation of Normans on the international medieval stage.