Three points to improve how the Curia functions
Have three censors that rotate; two sit on the ae while the third breaks any ties.
Have referrals go directly to the Curator. The Curator can attempt to "mediate" and forestall any "questionable" referrals before it becomes "official." This would remove anonymity.
The Curator would act as a moderator and oversee all functions of the Curia is done according to the Constitution.
If you are an incumbent official whose position is up for election and it is the end of your second term, then do not announce your intention to re-apply until the last two days of the application process. An actual rule may be undemocratic.