It is indeed possible that a currently unrepresented time period is the focus of one of these two games. The best bets would be, in no particular order:
Roman Empire era
Dark Ages era
Cold War era
I can't see Paradox skipping these options to go with the Ancient era, or the Modern Post-Cold-War era.
It could be also in classical or even archaic greece.
Also, I understand the desire for Dark Ages, but if the game is more focused on the characters it's not really a good choice of era, because many people remain unknown or legendary, while others are not. It's not a good mix. Or it has to be a lot more like an RPG (or some of the fanatsy mods for CK2) with quests and all.
It seems to me that Antiquity is more adapted to the focus on characters as seen in CK2, and not only in Rome or in Greece but also in China, in Japan, or even in India (this area deserve its own game by the way. There are plenty of games about China and Japan but nothing about India...).