As we know from anime (I'm not familiar neither with manga or novel), Board of Education is responsible for disposing ("expelling from school/academy") of problematic student, who may turn to Akkis or Karma Demons. They may use variety of methods to do so - Bakenezumi assassins, nekodamashi, poisoned medicine etc. I'm sure that when they are ordering nekodamashi to kill student, they do realize, that they will be actual cause of death of another person.
We can see from several occasions (temple monk after killing living library, Saki after her plan to kill Akki was success), that even small allusion, that you are killing another human, may lead to heavy consequences, if not death.
So, my question is - are Board of Education members immune to Death Feedback? Numerous people were killed after their order, but it seems, that it does not affect any of Board of Education members at all.