I'd rather see the log show up if you end the day after midnight.
This would be a big suggestion for me. I've been playing for a while now and really enjoying the game, and while I'm definitely not confident I understand all the systems yet, my list of QoL suggestions so far would be:
-Log showing regardless of when you end the day (Or seeing the last day's log in the house influence and economy menu)
-Log showing why people are losing or gaining affection when you hover over the gain/losses (This may be a no to some, but could be toggleable. Some of it is explained in game or even on the wiki, but it is hard to tell if you're not sure what you're looking for, or how to improve the situation. If this is too meta, an option asking a character what is bothering them where they would say it themselves would work as well)
-Option to auto use incense or adding wood to the fireplace at the beginning of each day instead of doing it manually.
-Switching weapons for your NPC teammates the same way you can do for the PC.
-Having a tab on the daily log that also shows your player stat gains, meaning not only money and influence (although those can be seen on the influence panel it would be nice to have it here as well) but also other niche things that give the player stats like devotion gain from the shrine
-A bit more clarification on what some stats and states do. Like what does being dirty, alertness level, or well-fed do?
I hope this doesn't sound like complaining, I'm really liking the game and these are all just relatively minor things that I think could smooth the experience.