I think that's what they are trying to accomplish with regards to the civics tree by unlocking traditions, which are unique civics from previous civilizations that you can keep, as well as unique quarters and improvements staying on the map.But they may, I will give it that, have gone too far in rejecting continuity between the civilizations, and the game could really stand to add some way to retain your civilization name and certain other identifiers over the years.
It might work, but I agree that there are still other glaring factors such as when transitioning from Greece to Spain, most cities retained their Greek names but had newer Spanish architecture, besides the unique quarter and Antiquity buildings.