TBH, I think the governor or a delegated clan member should just do the issues that give -loyalty or security, all of them, no % chance. I don't like % chance in the game. I think that at the time the player has a fief, especially many fiefs, it is unreasonable to expect them to do the quests very often and also just a bad design to expect the player to keep doing the same quests period. The entire "clan" part of the game is seriously thirsting for some utility or value and have governors or delegates do the issues and take care of the area would go a long way to making it feel more like valid part of the game.Perhaps Governors could have a daily % chance of auto-resolving issues that occur in the fiefs they administer?
Possible formula could be a base 1% chance with an increase of 0.20% per x days the issue is in the settlement, possibly capped at 10 or 12% chance of resolving the issue.
If the Governor could also receive a relation bonus and SP for completing the quests, this could solve many issues we see in the base game.
As it is your clan mates are just tiny, petty stat bonuses both as captains or governors and it really stands out as big fluffy-nothing feature the more you play through the game.
I have not used that mod but that is a concern I have for governor/clan members doing issues. I think either it should be they do the serious -loyalty/security ones (which can destroy the town if not done sometimes) or have option between which other ones they do as it's not good to do all of them! Particularly, not helping the gangs is good if you own the town! Also to avoid the artisan versus merchant quests.. However, there are quests that notables against each other and your governors handle these quests as well. So, your relation with notables increases for a while, but after a while, your relation with notables starts to decrease and even in your town you're not able to recruit.
I'd be okay with those left solely to the player, but you clan mate should deal with the one thats if left un-done can lead to a rebellions.