With so many living world events and the ability to “watch” achievements, the UI located in the top right can become very cluttered and obtrusive in the viewing pane.
Additionally, there are many players in GW2 who are mainly PvP or WvW players who will occasionally venture into pve for a guild event or Living World event(s). These users will probably never access their personal story, but they should have the choice whether or not to display it.
I propose that a toggle option be added in the options menu “Hide Storyline,” to remove the ever present green star from the UI and world map.