Repair depends heavily on battle which is directly influenced by players. Food is the same week on week and the main variation in food harvest is RNG droughts. The rest of those examples are obviously irrelevant. Note that pay your men is automated.
That's why I didn't say men's pay.
Judge examples: fining nobles, banning nobles, visiting prisoners
Ambassador examples: drafting treaties, signing treaties, diplo work
I can go on all day.
My point is, without buttons to push, you won't have a game to play. Trade is a set of buttons--without them, there's less game. Some people don't like the trade game. They can stop being region lords, maybe be a duke only, maybe just a simple knight. There's plenty of game left for region lords who don't want to mess with food.
Also, there are regions that don't need to mess with food week after week. Towns, badlands, forest, mountain--all these region types have to deal with food infrequently. It's only city and rural lords that have to deal with food on a weekly basis.