First of all apologize if something is not understood. I defend myself little with English and I am helping myself from a translator.
Teachers currently in moderation only verify the topic of chat in GC, Quidditch, House ... but I think they should be able to help the prefects to moderation for what may happen in events or other situations. The prefects can delete messages, block topics etc ... I think a teacher should be able to do it too.
Also at Hogwarts teachers could enter any common room even if it was not their home. The same does not happen here. For example, I am from Ravenclaw and therefore I can not see the other 3. If I want to check that something is ok / wrong in another house (and there is no other housemate to verify it) I can not.
I think that teachers should be able to enter the 4 houses and have these powers of moderation.
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