I intentionally used the term “scribe” to best fit everyone’s scenarios. Priests could be scribes (if they were apprentices or instructors). Anyone with a writing implement and the knowledge to use it (whether cuneiform or alpha characters) can be fairly called a scribe. What misunderstanding do you think using the term “scribe” could create?
Further, by mentioning the scribes, we can also include those who may have helped shape the stories long after Moses was gone … and/or long before Moses got to them. Not all Christians think Moses wrote the words to his own death. They usually think someone else had to write those sentences.