As GM, I don’t intend to write up summaries of each adventure. I leave that up to the players. If they write an Adventure Summary, perhaps I will give out a bonus experience point to the author.
What I will write, on occasion, will just be flavor text. Or little stories that may, or may not, be relevant to the ongoing campaign. Perhaps it might be a clue, or setting up a possible future adventure, or it just may be a simple story.
Only time will tell.