This is only my opinion and I am no expert, but your training manual must be approved by your POI if you are 135, so the liability is with him.
And if the memory items are written somewhere, it sounds like the backup is there, is the material in the cockpit?
I don't know of any requirement of having them in an hand held type of checklist, if that it's what you mean. You should question the POI about all this, if you feel that safety it's compromised.