Through holding courts, you judge commoners, right?
Through holding court you do your Duty as a region lord, recognised by other nobles. There is not an equivalent noble duty for priest. Also courts might not be for peasants, they could just as easily be for the disputes of the minor nobility.
This is not a situation that applies to myself, but nowadays priest can become judges. And as a judge you might require to punish others. Which will drain your h/p. Something you can not gain back, or you must be holding courts day in day out, but as priest I can also understand that you have other responsibilities, such as preaching. And the reputation of a priest can still be expressed in h/p. And prestige remains important to every noble.
It is their choice to be both a priest and a Judge with all the limitations that class brings to the position. I see no reason to change that.
