More immersion things I would add myself:
People reacting to recent events: If you just conquered a recent town people shouldnt like you, the taverner shouldnt talk to you or he should act negatevily at you until your relation gets higher and you gain their trust. The city should be in flames or something, make the sieges ACTUALLY affect the city and its citizens, everyone shouldn't act like its just another day. Also if you conquer back a city of your own culture that was taken by another faction the city should celebrate for you and recieve you as a hero, or something like that.
Also, make things happens lf you end up as the town ruler, citizens coming to speak with you because their house was burned in the siege or one their daughter was taken/raped (I know rape is not likely to happen in this game, even though you get the point) and he wants action taken which may affect how you are as a ruler and how people see you. I was expecting a more dynamic gameplay that required you to stay in your place and settle things down in your town, involve more politics and having more events going on, otherwise the NPCs are just there as decoration and have nothing to do.
How about your army too. What is going on while you travel? You have people following you, there should be camping and dealing with intern leadership too, let's say one of your soldiers is having trouble with another and you have to solve these issues how you see fitting, and let your raise morale at the cost of losing influence or things like that
SCENES for all of this. Jesus doing all by texts feels like all your adventure is happening in your head and not in you know the actual game like it should. The executions should be way, way more immersive than just a black boring screen, I can't believe how lazy is that, it should be a big scripted scene in the middle of a field with all your men. It's not like you need to kill every single lord everyday and you need it to be fast and not tedious. This happens too with becoming a lord, I was amazed to find out you just go to a lord say a few words and suddenly you have a high position in a kingdom, how is that? These moments should be achievements and the game should celebrate them, asking to be a lord should be done in cities or castles and with lords present, it should be a scene for your promotion, you dont become a lord everyday, you work to achieve that.