Possible suggestion for adding new faction influence quest or objective could be to kill a world boss that is friendly to faction that controls the area.
Could spawn near fort or in war camp.
Would be like the brute and summoned monsters in OPR. Friendly to faction that controls area.
Other factions can come kill and get influence as well as loot. Maybe make it a PVP influence quest.
Boss should be hard, World Boss hard, and have it’d own support monsters. Like the new turkey, but also have its own mini monsters around it or near it.
Just a suggestion to add some more to territory conflict.