It seems that CA has improved the immersion of the franchise in ATW compared to Rome 2. Although I do find that the game itself has very little immersion features once you manage to save your empire. The aristocrats for instance doesn't hate you or conspire against you if you made a decision that might affect them negatively.
There's no fear of having your armies defecting and claiming someone else as emperor if you lose some battles or killed their favourite general. There's little to fear from ursupers trying to gain support from the other Emperor in a bid to undermine you. Part of the fun of playing a grand strategy game, especially one that focus on playing a game set during a period famous for intrigue, is you should be able to do tons of stuff beyond building armies and defeating enemies on the battlemap.
Trying to make alliances within your faction, playing off one sect of elites against another set of elites in order to keep your throne should be something that makes it fun and hard for the players. What other features could you think of that CA will notice and implement in their future games?