Cyrodil is a great place to complete dailies for this anniversary event. I have been there trying to grind some of these dailies out, and I have to say I am impressed with the sportsmanship of the players in there. In Cheydinhal especially I have stood next to other players from enemy factions, and we completed the quests without anyone with interfering with each other.
I've seen the opposite though in Bruma, where a group of six of an enemy faction set up siege in the chapel, to farm PVE'rs. I got killed by them at first not expecting them, then watched to see if they'd leave. Nope. They set up shop there, and their intention was obviously to farm PVE'rs that are participating in the anniversary event. I went in with a buddy and cleared them out.
With the event still going on, anyone else have experience with PVE'ing in Cyrodil?