would depend on the marketing campaign used, in the same way that Henry VII and Henry VIII really promoted the idea of the Tudor Dynasty.
Actually, IIRC Tudor is a later invention by historians to keep the scions of Plantagenets straight. Neither Henry ever referred/saw themselves as a new dynasty, but simply as a continuance of the Plantagenets.
Besides, monarchs don't use surnames so would it really matter what the dynasty is called.