Any chance you consider adding a 6th councillor? I have always felt that merging the "court offices" and the "actual Privy Council" was an odd decision, since the first ones were usually hereditary and while granted honours and some obligations, were mainly for show; while the second ones did actual work...
I guess that the shift from a private and privatised curia to a public, State-focused Chancery is way too complex to be shown. Just kidding, this is a game!
But I still have the feeling there's something lacking in the Council. Two titles, at elast: your "Favourite". Not all kings had one, but the ones that did, that was a good show. The Spanish "privado", your Thomas Becket, your Cardinal Wolsey, your Álvaro de Luna... It's something that might require some thought, but that can bring a lot to the human side of the game. Nobles fought not only for regency, also for "privacy" or "primacy", the chance to be the main advisor to the king, or to depose a much hated one. Poor Bernat de Cabrera went to be the Great Favourite, and then lost his head thanks to his enemies' scheming, just like Constable Álvaro de Luna.
The other office is your Chamberlain, Mayordomo, the master of your Household. The guy that takes care of your home and services. Usually (usually) this guy was also some sort of spymaster, but he also made sure the bread was always baked when you woke up and that your room didn't smell like hell because of all these old tapestries.
It feels like the Chancellor and Spymaster/Treasourer fulfill theses positions, but when you're sending the Chancellor away to improve relations or to get that title you so much desire... well, I can't help feeling sorry for the poor guy, who's gonna loose his primacy, and for you (me), the king, who won't have his hot milk if his chamberlain is away on a dangerous spy mission.
I get it that "sending them away" doesn't mean they're there, but sometimes the game treats it that way.
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On an unrelated note, I miss more bickering between nobles over land or privileges. They're fast to tell you they have rights to a title (even when they don't, silly little counts) but you never hear of their problems among themselves. When I see my vassal X waging war against my vassal Y over a barony, I'd like that they have tried to discuss it with me first. Half of being a king is being judge and arbiter on these matters.
So more arbitring events would be good, and would also ciment your relations with your cronies, or make other vassals dislike you a lot. It's also a way to balance those that dislike you with those that don't.