How did the Cisalpine Romanized Gauls receive the Langobards?

In 568, when the Langobards crushed the Byzantine army and became the rulers of the cisalpine region, how did the populace accept the Langobards? According to false perception, they were barbarians who oppressed the "Roman" citizenry of the region. First of all, the populace was not any more ethnically "Roman" than any of the other former Roman provinces in Europe. Like in France, they were basically Romanized Gauls, at least in most of this new conquered territory.

In the forward to the book 'The Lombard Laws' (Katherine Fisher; 1973), on pages XV to XVI, Edward Peters states the following:

"In military and political terms, at least, the Lombards encountered little of that resistance that the Romans had used so successfully against the Visigoths and Ostrogoths. Nor did the Lombards encounter that deeper-rooted social resistance that and organized provincial population, no matter how remote from imperial support, might have offered.

"The devastations of the Gothic wars and the heavy hand of the imperial restoration debilitated even the social fabric of Italy, leaving little in the way of a senatorial or curial class that might have led a resistance movement. With the reduction in imperial taxes that accompanied the Lombard occupation, moreover, even such resistance as might have been generated lost at least the cause of fiscal oppression, and many wealthy Romans fled toward, not away from, the new rulers of northern Italy. Life under the Lombards may well have been preferable to life under the imperial bureaucracy; it was certainly less expensive. Not only were the Lombards fortunate in having little serious military and social resistance, but they encountered little institutional or cultural resistance as well."

It continues on, but that gave the gist of it. Again, by "Romans," Peters is referring to the general population of Romanized Gauls. While other conquered Roman territories were given the respect of having the usage of their ethnic or national label after the Roman era was over, the mere existence of the modern state of Italy was enough to compel historians us use "Roman" here. The main point, however, is that they were not "oppressed" under the Langobards. In fact, it appears that they were actually happy with the change! Germanic and Celtic people were not strangers, historically speaking.