No, that's not right at all. Those areas were all part of the Roman empire and thoroughly Romanized as well. They used generally identical Roman technologies in Britain as North Africa or Italy, spoke the same Latin, used the same building styles, clothing styles varied primarily by how many layers they wore, they had the same legal system, and shared Roman arts and culture.
Man of those countries speak Germanic languages now since they were invaded by Germanic speaking people after the Western Roman Empire collapsed, but there's still Roman ruins and old Roman cities to be found in all of those countries.
Actually have they collapsed ? The Germanic king actually follow Roman rule practices. Strange argument I knew. Especially after the famous history of the fall of the Roman Empire.
Man of those countries speak Germanic languages now since they were invaded by Germanic speaking people after the Western Roman Empire collapsed, but there's still Roman ruins and old Roman cities to be found in all of those countries.