Reasons for thinking that no notes were taken while Jesus and apostles were teaching?

[Longfellow]

What are some reasons for thinking that it's possible that no one was writing notes about the teachings of Jesus and the apostles while they were teaching, or that it's possible that those were not recopied as needed, until the gospels were written? Considering what I've read about writing practices at the beginning of the first century, that seems inconceivable to me.

 

[Longfellow]

Reading and Writing in the Time of Jesus, by Alan Millard, argues that written reports about Jesus could have been made during his lifetime and that some among his audiences and followers may very well have kept notes, first-hand documents that the Evangelists could weave into their narratives. Here's a list of arguments that I've found against that:
- Low literacy rate.
- Dominance of oral tradition.
- Weakness of archaeological evidence.
- Writing not mentioned in first-century traditions.
- Rabbinic prohibition against writing oral law.

If anyone can think of or find any other arguments against Millard's view, please post them.