Even though TIME was ordered to turn the docs over for the grand jury (and assuming the docs would stay sealed), they probably have no desire to make them public for the same reason they did not want to turn them over in the first place: to maintain source confidentiality. So even if no legal reason, they would probably hold them back anyway.
the notes can say anything - they are trying to get Cooper in a perjury trap - he could write anything in that notepad and turn it over to the prosecutor - my only guess is that they have some definitive proof from Novak, and if Cooper/Miller says something different, he commits perjury.