It is the latter: Anglish culture is not uniformly Scandinavian at all, but their ruling class tends to have close marital and cultural ties to Denmark and Norway and their power base is in the old Danelaw, where the culture is somewhat more Nordic-influenced.
Angland is a little more Nordicized than OTL England, but a lot of the same influences have crept in, in different ways. The language spoken around London and in the south of England is basically English due to the influence of trade ties with the mainland. The language spoken in the power centre, around Grimsby and the Humbermouth, is sort of a more Scandinavian influenced version of English. More Anglo-Saxon terms have survived thus far. I feel like some of the vocabulary from the Anglish conlang might creep in - e.g. they'll call the Holy Roman Empire the Holy Romish Overrike, and they tend to pick a lot of Germanic terms for some things. That is, an Anglish person in the Danelaw would refer to a town or city as a borough, a language as a tunge, a ship as a skip and an ocean as a mere. You could go to Grimsby and hear someone telling you they astaken a skip out of the borough to overfare the Westmere. (That is, they embarked a ship in town to cross the Atlantic Ocean.)
The Germanic influence on the language has been moderated somewhat by both war and trade with France, and by intermarriage with the mainland. There are basically two main commercial hubs. Grimsby is the capital and does a lot of business with the northern HRE, Denmark, Norway and Sweden, with ships coming from as far away as Poland and Russia. London, meanwhile, does more business with Normandy, Aquitaine, Santiago and the Low Countries.