better to conect it to the authority of the faction leader his generals or himself have an heroic victory his authority rises if he fails his authority decreases and we all know that rebelling parts of the army are conected to the king´s authority

now if we could mod the game in terms that the authority of the leader affects squealor and that same authority and squalor are conected to how many setlements he won/lost or how many heroic victory´s or crushing defeats he had it could vey extremly fun expecially everytime a faction leader dies the prince (as a rule ofc) as far less authority so we would have to concentrate alot on having the sucessor fighting many batles to gain enough influence before he becomes king or once the faction leader dies there might be a big increase both in squalor and amount of troops going rogue (even some generals or less loyal family members or even in extreme cases rebelling towns)

ofc we can always send the sucessor to the capital with the big academy and he eventually gets 10 influence but thats just a small trick